131410312034112 has 112 divisors (see below), whose sum is σ = 396763116982720. Its totient is φ = 42619560638976.

The previous prime is 131410312034107. The next prime is 131410312034119. The reversal of 131410312034112 is 211430213014131.

131410312034112 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 0 + 312 + 0 + 341 + 1 + 2 = 666.

It is a super-2 number, since 2×131410312034112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131410312034119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027606798 + ... + 1027734669.

Almost surely, 2^{131410312034112} is an apocalyptic number.

131410312034112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131410312034112 is an abundant number, since it is smaller than the sum of its proper divisors (265352804948608).

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

131410312034112 is a wasteful number, since it uses less digits than its factorization.

131410312034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055341525 (or 2055341509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131410312034112 its reverse (211430213014131), we get a palindrome (342840525048243).

The spelling of 131410312034112 in words is "one hundred thirty-one trillion, four hundred ten billion, three hundred twelve million, thirty-four thousand, one hundred twelve".