13153435131 has 32 divisors (see below), whose sum is σ = 18215156736. Its totient is φ = 8436960000.

The previous prime is 13153435111. The next prime is 13153435147.

13153435131 is nontrivially palindromic in base 10.

13153435131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13153435131 - 2⁷ = 13153435003 is a prime.

It is a super-2 number, since 2×13153435131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13153435111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3364680 + ... + 3368586.

It is an arithmetic number, because the mean of its divisors is an integer number (569223648).

Almost surely, 2^13153435131 is an apocalyptic number.

13153435131 is a deficient number, since it is larger than the sum of its proper divisors (5061721605).

13153435131 is a wasteful number, since it uses less digits than its factorization.

13153435131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323.

The product of its digits is 8100, while the sum is 30.

The spelling of 13153435131 in words is "thirteen billion, one hundred fifty-three million, four hundred thirty-five thousand, one hundred thirty-one".