31331330013 has 16 divisors (see below), whose sum is σ = 41894688960. Its totient is φ = 20827825536.

The previous prime is 31331330003. The next prime is 31331330029. The reversal of 31331330013 is 31003313313.

It is not a de Polignac number, because 31331330013 - 2¹⁸ = 31331067869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331330003) 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 in 15 ways as a sum of consecutive naturals, for example, 2278603 + ... + 2292311.

It is an arithmetic number, because the mean of its divisors is an integer number (2618418060).

Almost surely, 2^31331330013 is an apocalyptic number.

It is an amenable number.

31331330013 is a deficient number, since it is larger than the sum of its proper divisors (10563358947).

31331330013 is a wasteful number, since it uses less digits than its factorization.

31331330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15836.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 31331330013 its reverse (31003313313), we get a palindrome (62334643326).

It can be divided in two parts, 313313300 and 13, that added together give a palindrome (313313313).

The spelling of 31331330013 in words is "thirty-one billion, three hundred thirty-one million, three hundred thirty thousand, thirteen".