31331323330013 has 12 divisors (see below), whose sum is σ = 38031278009760. Its totient is φ = 25687793039832.

The previous prime is 31331323330001. The next prime is 31331323330037. The reversal of 31331323330013 is 31003332313313.

It is a happy number.

It is not a de Polignac number, because 31331323330013 - 2¹⁴ = 31331323313629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331323330063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13900319783 + ... + 13900322036.

It is an arithmetic number, because the mean of its divisors is an integer number (3169273167480).

Almost surely, 2^{31331323330013} is an apocalyptic number.

It is an amenable number.

31331323330013 is a deficient number, since it is larger than the sum of its proper divisors (6699954679747).

31331323330013 is a wasteful number, since it uses less digits than its factorization.

31331323330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27800641856 (or 27800641849 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 31331323330013 its reverse (31003332313313), we get a palindrome (62334655643326).

The spelling of 31331323330013 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred twenty-three million, three hundred thirty thousand, thirteen".