131201001210312 has 96 divisors (see below), whose sum is σ = 401006194992000. Its totient is φ = 38386917797760.

The previous prime is 131201001210199. The next prime is 131201001210319. The reversal of 131201001210312 is 213012100102131.

131201001210312 is a `hidden beast` number, since 1 + 31 + 201 + 0 + 0 + 121 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131201001210319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856146512 + ... + 2856192447.

It is an arithmetic number, because the mean of its divisors is an integer number (4177147864500).

Almost surely, 2^{131201001210312} is an apocalyptic number.

131201001210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131201001210312 is an abundant number, since it is smaller than the sum of its proper divisors (269805193781688).

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

131201001210312 is a wasteful number, since it uses less digits than its factorization.

131201001210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712339011 (or 5712339004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131201001210312 its reverse (213012100102131), we get a palindrome (344213101312443).

The spelling of 131201001210312 in words is "one hundred thirty-one trillion, two hundred one billion, one million, two hundred ten thousand, three hundred twelve".