13121032013 has 2 divisors, whose sum is σ = 13121032014. Its totient is φ = 13121032012.

The previous prime is 13121032003. The next prime is 13121032037. The reversal of 13121032013 is 31023012131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11565281764 + 1555750249 = 107542^2 + 39443^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121032013 - 2²⁸ = 12852596557 is a prime.

It is a super-2 number, since 2×13121032013² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121031982 and 13121032000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121032003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560516006 + 6560516007.

It is an arithmetic number, because the mean of its divisors is an integer number (6560516007).

Almost surely, 2^13121032013 is an apocalyptic number.

It is an amenable number.

13121032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121032013 is an equidigital number, since it uses as much as digits as its factorization.

13121032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13121032013 its reverse (31023012131), we get a palindrome (44144044144).

The spelling of 13121032013 in words is "thirteen billion, one hundred twenty-one million, thirty-two thousand, thirteen".