13135522553131 has 32 divisors (see below), whose sum is σ = 15209518963968. Its totient is φ = 11211620106240.

The previous prime is 13135522553093. The next prime is 13135522553141.

13135522553131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13135522553131 - 2⁷ = 13135522553003 is a prime.

It is a super-2 number, since 2×13135522553131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13135522553141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138590500 + ... + 138685246.

It is an arithmetic number, because the mean of its divisors is an integer number (475297467624).

Almost surely, 2^{13135522553131} is an apocalyptic number.

13135522553131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13135522553131 is a deficient number, since it is larger than the sum of its proper divisors (2073996410837).

13135522553131 is a wasteful number, since it uses less digits than its factorization.

13135522553131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96571.

The product of its digits is 202500, while the sum is 40.

It can be divided in two parts, 1313552 and 2553131, that added together give a palindrome (3866683).

The spelling of 13135522553131 in words is "thirteen trillion, one hundred thirty-five billion, five hundred twenty-two million, five hundred fifty-three thousand, one hundred thirty-one".