13135044053131 has 16 divisors (see below), whose sum is σ = 17635863345408. Its totient is φ = 9447783933600.

The previous prime is 13135044053123. The next prime is 13135044053161.

13135044053131 is nontrivially palindromic in base 10.

13135044053131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13135044053131 - 2³ = 13135044053123 is a prime.

It is a super-2 number, since 2×13135044053131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13135044053161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6560960065 + ... + 6560962066.

It is an arithmetic number, because the mean of its divisors is an integer number (1102241459088).

Almost surely, 2^{13135044053131} is an apocalyptic number.

13135044053131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13135044053131 is a deficient number, since it is larger than the sum of its proper divisors (4500819292277).

13135044053131 is a wasteful number, since it uses less digits than its factorization.

13135044053131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13121922162.

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 1313504 and 4053131, that added together give a palindrome (5366635).

The spelling of 13135044053131 in words is "thirteen trillion, one hundred thirty-five billion, forty-four million, fifty-three thousand, one hundred thirty-one".