13013213137 has 2 divisors, whose sum is σ = 13013213138. Its totient is φ = 13013213136.

The previous prime is 13013213113. The next prime is 13013213153. The reversal of 13013213137 is 73131231031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12253604416 + 759608721 = 110696^2 + 27561^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013213137 - 2⁷ = 13013213009 is a prime.

It is a super-2 number, since 2×13013213137² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13013213167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506606568 + 6506606569.

It is an arithmetic number, because the mean of its divisors is an integer number (6506606569).

Almost surely, 2^13013213137 is an apocalyptic number.

It is an amenable number.

13013213137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013213137 is an equidigital number, since it uses as much as digits as its factorization.

13013213137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 13013213137 its reverse (73131231031), we get a palindrome (86144444168).

The spelling of 13013213137 in words is "thirteen billion, thirteen million, two hundred thirteen thousand, one hundred thirty-seven".