13213312023137 has 2 divisors, whose sum is σ = 13213312023138. Its totient is φ = 13213312023136.

The previous prime is 13213312022947. The next prime is 13213312023161. The reversal of 13213312023137 is 73132021331231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6938883198976 + 6274428824161 = 2634176^2 + 2504881^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213312023137 - 2²⁶ = 13213244914273 is a prime.

It is a super-2 number, since 2×13213312023137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13213312023167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606656011568 + 6606656011569.

It is an arithmetic number, because the mean of its divisors is an integer number (6606656011569).

Almost surely, 2^{13213312023137} is an apocalyptic number.

It is an amenable number.

13213312023137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213312023137 is an equidigital number, since it uses as much as digits as its factorization.

13213312023137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 13213312023137 its reverse (73132021331231), we get a palindrome (86345333354368).

The spelling of 13213312023137 in words is "thirteen trillion, two hundred thirteen billion, three hundred twelve million, twenty-three thousand, one hundred thirty-seven".