3135134315313 has 144 divisors (see below), whose sum is σ = 6448764999040. Its totient is φ = 1424235985920.

The previous prime is 3135134315231. The next prime is 3135134315359.

3135134315313 is a `hidden beast` number, since 3 + 13 + 5 + 13 + 4 + 315 + 313 = 666.

3135134315313 is nontrivially palindromic in base 10.

3135134315313 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 3135134315313 - 2¹³ = 3135134307121 is a prime.

It is a super-2 number, since 2×3135134315313² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3135134315393) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1050345 + ... + 2715417.

Almost surely, 2^{3135134315313} is an apocalyptic number.

3135134315313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3135134315313 is an abundant number, since it is smaller than the sum of its proper divisors (3313630683727).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3135134315313 is a wasteful number, since it uses less digits than its factorization.

3135134315313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665140 (or 1665126 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The spelling of 3135134315313 in words is "three trillion, one hundred thirty-five billion, one hundred thirty-four million, three hundred fifteen thousand, three hundred thirteen".