331131131202001 has 6 divisors (see below), whose sum is σ = 358562112485190. Its totient is φ = 305659505724768.

The previous prime is 331131131201999. The next prime is 331131131202017. The reversal of 331131131202001 is 100202131131133.

It can be written as a sum of positive squares in 3 ways, for example, as 436360651776 + 330694770550225 = 660576^2 + 18185015^2 .

It is not a de Polignac number, because 331131131202001 - 2¹ = 331131131201999 is a prime.

It is a super-2 number, since 2×331131131202001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331131131202301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 979677902796 + ... + 979677903133.

It is an arithmetic number, because the mean of its divisors is an integer number (59760352080865).

Almost surely, 2^{331131131202001} is an apocalyptic number.

It is an amenable number.

331131131202001 is a deficient number, since it is larger than the sum of its proper divisors (27430981283189).

331131131202001 is a wasteful number, since it uses less digits than its factorization.

331131131202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959355805955 (or 1959355805942 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 331131131202001 its reverse (100202131131133), we get a palindrome (431333262333134).

The spelling of 331131131202001 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred two thousand, one".