100131311031201 has 12 divisors (see below), whose sum is σ = 144636591567780. Its totient is φ = 66753064753920.

The previous prime is 100131311031197. The next prime is 100131311031209. The reversal of 100131311031201 is 102130113131001.

100131311031201 is a `hidden beast` number, since 10 + 0 + 1 + 31 + 311 + 0 + 312 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91959488381601 + 8171822649600 = 9589551^2 + 2858640^2 .

It is not a de Polignac number, because 100131311031201 - 2² = 100131311031197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100131311031209) 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, 94661496 + ... + 95713433.

It is an arithmetic number, because the mean of its divisors is an integer number (12053049297315).

Almost surely, 2^{100131311031201} is an apocalyptic number.

It is an amenable number.

100131311031201 is a deficient number, since it is larger than the sum of its proper divisors (44505280536579).

100131311031201 is a wasteful number, since it uses less digits than its factorization.

100131311031201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190433376 (or 190433373 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100131311031201 its reverse (102130113131001), we get a palindrome (202261424162202).

The spelling of 100131311031201 in words is "one hundred trillion, one hundred thirty-one billion, three hundred eleven million, thirty-one thousand, two hundred one".