3135431090313 has 16 divisors (see below), whose sum is σ = 4645238637760. Its totient is φ = 2090217400128.

The previous prime is 3135431090219. The next prime is 3135431090317. The reversal of 3135431090313 is 3130901345313.

3135431090313 is a `hidden beast` number, since 3 + 1 + 3 + 543 + 10 + 90 + 3 + 13 = 666.

It is not a de Polignac number, because 3135431090313 - 2¹² = 3135431086217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3135431090317) 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, 1116595 + ... + 2741832.

It is an arithmetic number, because the mean of its divisors is an integer number (290327414860).

Almost surely, 2^{3135431090313} is an apocalyptic number.

It is an amenable number.

3135431090313 is a deficient number, since it is larger than the sum of its proper divisors (1509807547447).

3135431090313 is a wasteful number, since it uses less digits than its factorization.

3135431090313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888533 (or 3888527 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 3135431090313 in words is "three trillion, one hundred thirty-five billion, four hundred thirty-one million, ninety thousand, three hundred thirteen".