31321033232113 has 2 divisors, whose sum is σ = 31321033232114. Its totient is φ = 31321033232112.

The previous prime is 31321033232089. The next prime is 31321033232161. The reversal of 31321033232113 is 31123233012313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18068688529984 + 13252344702129 = 4250728^2 + 3640377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31321033232113 is a prime.

It is not a weakly prime, because it can be changed into another prime (31321033232173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15660516616056 + 15660516616057.

It is an arithmetic number, because the mean of its divisors is an integer number (15660516616057).

Almost surely, 2^{31321033232113} is an apocalyptic number.

It is an amenable number.

31321033232113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321033232113 is an equidigital number, since it uses as much as digits as its factorization.

31321033232113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 31321033232113 its reverse (31123233012313), we get a palindrome (62444266244426).

The spelling of 31321033232113 in words is "thirty-one trillion, three hundred twenty-one billion, thirty-three million, two hundred thirty-two thousand, one hundred thirteen".