120131213011134 has 256 divisors, whose sum is σ = 273323491983360. Its totient is φ = 34944568888320.

The previous prime is 120131213011129. The next prime is 120131213011163. The reversal of 120131213011134 is 431110312131021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18182411259 + ... + 18182417865.

It is an arithmetic number, because the mean of its divisors is an integer number (1067669890560).

Almost surely, 2^{120131213011134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120131213011134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136661745991680).

120131213011134 is an abundant number, since it is smaller than the sum of its proper divisors (153192278972226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120131213011134 is a wasteful number, since it uses less digits than its factorization.

120131213011134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 120131213011134 its reverse (431110312131021), we get a palindrome (551241525142155).

It can be divided in two parts, 1201312 and 13011134, that added together give a triangular number (14212446 = T₅₃₃₁).

The spelling of 120131213011134 in words is "one hundred twenty trillion, one hundred thirty-one billion, two hundred thirteen million, eleven thousand, one hundred thirty-four".