We investigate structure of 13 Λ C and discuss the difference and similarity between the structures of 12 C and 13 Λ C by answering the questions if the linear-chain and gaslike cluster states, which are proposed to appear in 12 C, survives, or new structure states appear or not. We introduce a microscopic cluster model called, Hyper-Tohsaki-Horiuchi-Schuck-Röpke (H-THSR) wave function, which is an extended version of the THSR wave function so as to describe Λ hypernuclei. We obtained two bound states and two resonance (quasi-bound) states for J π = 0 + in 13 Λ C, corresponding to the four 0 + states in 12 C. However, the inversion of level ordering between the spectra of 12 C and 13 Λ C, i.e. that the 0 + 3 and 0 + 4 states in 13 Λ C correspond to the 0 + 4 and 0 + 3 states in 12 C, respectively, is shown to occur. The additional Λ particle reduces sizes of the 0 + 2 and 0 + 3 states in 13 Λ C very much, but the shrinkage of the 0 + 4 state is only a half of the other states, in spite of the fact that attractive Λ-N interaction makes nucleus contracted so much when the Λ particle occupies an S -orbit. In conclusion, the Hoyle state becomes quite a compact object with 9 Λ Be + α configuration in 13 Λ C and is no more gaslike state composed of the 3α clusters. Instead, the 0 + 4 state in 13 Λ C, coming from the 12 C(0 + 3 ) state, appears as a gaslike state composed of α + α + 5 Λ He configuration, i.e. the Hoyle analog state. A linear-chain state in a Λ hypernucleus is for the first time predicted to exist as the 0 + 3 state in 13 Λ C with more shrunk arrangement of the 3α clusters along z-axis than the 3α linear-chain configuration realized in the 12 C(0 + 4 ) state. All the excited states are shown to appear around the corresponding cluster-decay threshold, reflecting the threshold rule.