31331303131013 has 8 divisors (see below), whose sum is σ = 31609555602648. Its totient is φ = 31053067928064.

The previous prime is 31331303131001. The next prime is 31331303131039. The reversal of 31331303131013 is 31013130313313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8425191253924 + 22906111877089 = 2902618^2 + 4786033^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31331303131013 - 2⁴² = 26933256619909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331303131613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658670 + ... + 7943327.

It is an arithmetic number, because the mean of its divisors is an integer number (3951194450331).

Almost surely, 2^{31331303131013} is an apocalyptic number.

It is an amenable number.

31331303131013 is a deficient number, since it is larger than the sum of its proper divisors (278252471635).

31331303131013 is a wasteful number, since it uses less digits than its factorization.

31331303131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634343.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 31331303131013 its reverse (31013130313313), we get a palindrome (62344433444326).

The spelling of 31331303131013 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred three million, one hundred thirty-one thousand, thirteen".