13022032032013 has 2 divisors, whose sum is σ = 13022032032014. Its totient is φ = 13022032032012.

The previous prime is 13022032032001. The next prime is 13022032032017. The reversal of 13022032032013 is 31023023022031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11154551264649 + 1867480767364 = 3339843^2 + 1366558^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022032032013 - 2¹³ = 13022032023821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13022032032017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511016016006 + 6511016016007.

It is an arithmetic number, because the mean of its divisors is an integer number (6511016016007).

Almost surely, 2^{13022032032013} is an apocalyptic number.

It is an amenable number.

13022032032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022032032013 is an equidigital number, since it uses as much as digits as its factorization.

13022032032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13022032032013 its reverse (31023023022031), we get a palindrome (44045055054044).

The spelling of 13022032032013 in words is "thirteen trillion, twenty-two billion, thirty-two million, thirty-two thousand, thirteen".