13135653131 has 2 divisors, whose sum is σ = 13135653132. Its totient is φ = 13135653130.

The previous prime is 13135653061. The next prime is 13135653149.

13135653131 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 13135653131 - 2²⁶ = 13068544267 is a prime.

It is a super-2 number, since 2×13135653131² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13135653191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567826565 + 6567826566.

It is an arithmetic number, because the mean of its divisors is an integer number (6567826566).

Almost surely, 2^13135653131 is an apocalyptic number.

13135653131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135653131 is an equidigital number, since it uses as much as digits as its factorization.

13135653131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12150, while the sum is 32.

The spelling of 13135653131 in words is "thirteen billion, one hundred thirty-five million, six hundred fifty-three thousand, one hundred thirty-one".