3145312135413 has 24 divisors (see below), whose sum is σ = 5196884982848. Its totient is φ = 1795720715712.

The previous prime is 3145312135393. The next prime is 3145312135451.

3145312135413 is a `hidden beast` number, since 31 + 4 + 531 + 21 + 35 + 41 + 3 = 666.

3145312135413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3145312135413 - 2²¹ = 3145310038261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145312130413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22157920 + ... + 22299417.

Almost surely, 2^{3145312135413} is an apocalyptic number.

It is an amenable number.

3145312135413 is a deficient number, since it is larger than the sum of its proper divisors (2051572847435).

3145312135413 is a wasteful number, since it uses less digits than its factorization.

3145312135413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44458473 (or 44458470 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 3145312135413 in words is "three trillion, one hundred forty-five billion, three hundred twelve million, one hundred thirty-five thousand, four hundred thirteen".