13032013132013 has 2 divisors, whose sum is σ = 13032013132014. Its totient is φ = 13032013132012.

The previous prime is 13032013131979. The next prime is 13032013132049. The reversal of 13032013132013 is 31023131023031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12914557504489 + 117455627524 = 3593683^2 + 342718^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032013132013 - 2²² = 13032008937709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13032013132013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13032013131013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516006566006 + 6516006566007.

It is an arithmetic number, because the mean of its divisors is an integer number (6516006566007).

Almost surely, 2^{13032013132013} is an apocalyptic number.

It is an amenable number.

13032013132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032013132013 is an equidigital number, since it uses as much as digits as its factorization.

13032013132013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 13032013132013 its reverse (31023131023031), we get a palindrome (44055144155044).

The spelling of 13032013132013 in words is "thirteen trillion, thirty-two billion, thirteen million, one hundred thirty-two thousand, thirteen".