2031031003313 has 16 divisors (see below), whose sum is σ = 2207448843600. Its totient is φ = 1857498531840.

The previous prime is 2031031003301. The next prime is 2031031003327. The reversal of 2031031003313 is 3133001301302.

It can be written as a sum of positive squares in 8 ways, for example, as 523029811264 + 1508001192049 = 723208^2 + 1228007^2 .

It is a cyclic number.

It is not a de Polignac number, because 2031031003313 - 2⁶ = 2031031003249 is a prime.

It is a super-2 number, since 2×2031031003313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2031031003363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45844733 + ... + 45889013.

It is an arithmetic number, because the mean of its divisors is an integer number (137965552725).

Almost surely, 2^{2031031003313} is an apocalyptic number.

It is an amenable number.

2031031003313 is a deficient number, since it is larger than the sum of its proper divisors (176417840287).

2031031003313 is a wasteful number, since it uses less digits than its factorization.

2031031003313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76772.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 2031031003313 its reverse (3133001301302), we get a palindrome (5164032304615).

The spelling of 2031031003313 in words is "two trillion, thirty-one billion, thirty-one million, three thousand, three hundred thirteen".