31330221301013 has 2 divisors, whose sum is σ = 31330221301014. Its totient is φ = 31330221301012.

The previous prime is 31330221300953. The next prime is 31330221301019. The reversal of 31330221301013 is 31010312203313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24038801031844 + 7291420269169 = 4902938^2 + 2700263^2 .

It is a cyclic number.

It is not a de Polignac number, because 31330221301013 - 2²⁸ = 31329952865557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31330221301013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31330221301019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665110650506 + 15665110650507.

It is an arithmetic number, because the mean of its divisors is an integer number (15665110650507).

Almost surely, 2^{31330221301013} is an apocalyptic number.

It is an amenable number.

31330221301013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31330221301013 is an equidigital number, since it uses as much as digits as its factorization.

31330221301013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 31330221301013 its reverse (31010312203313), we get a palindrome (62340533504326).

The spelling of 31330221301013 in words is "thirty-one trillion, three hundred thirty billion, two hundred twenty-one million, three hundred one thousand, thirteen".