131332311201312 has 72 divisors (see below), whose sum is σ = 402205203065484. Its totient is φ = 40409941906944.

The previous prime is 131332311201307. The next prime is 131332311201319. The reversal of 131332311201312 is 213102113233131.

131332311201312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 32 + 311 + 2 + 0 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120392596190736 + 10939715010576 = 10972356^2 + 3307524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×131332311201312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131332311201319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17539033543 + ... + 17539041030.

Almost surely, 2^{131332311201312} is an apocalyptic number.

131332311201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131332311201312 is an abundant number, since it is smaller than the sum of its proper divisors (270872891864172).

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

131332311201312 is a wasteful number, since it uses less digits than its factorization.

131332311201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35078074602 (or 35078074591 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131332311201312 its reverse (213102113233131), we get a palindrome (344434424434443).

The spelling of 131332311201312 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, three hundred eleven million, two hundred one thousand, three hundred twelve".