31013231032001 has 2 divisors, whose sum is σ = 31013231032002. Its totient is φ = 31013231032000.

The previous prime is 31013231031997. The next prime is 31013231032009. The reversal of 31013231032001 is 10023013231013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23863703732401 + 7149527299600 = 4885049^2 + 2673860^2 .

It is a cyclic number.

It is not a de Polignac number, because 31013231032001 - 2² = 31013231031997 is a prime.

It is a super-2 number, since 2×31013231032001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31013231032009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506615516000 + 15506615516001.

It is an arithmetic number, because the mean of its divisors is an integer number (15506615516001).

Almost surely, 2^{31013231032001} is an apocalyptic number.

It is an amenable number.

31013231032001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013231032001 is an equidigital number, since it uses as much as digits as its factorization.

31013231032001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31013231032001 its reverse (10023013231013), we get a palindrome (41036244263014).

The spelling of 31013231032001 in words is "thirty-one trillion, thirteen billion, two hundred thirty-one million, thirty-two thousand, one".