3135540455313 has 48 divisors (see below), whose sum is σ = 4901538692160. Its totient is φ = 1777651075200.

The previous prime is 3135540455297. The next prime is 3135540455353.

3135540455313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3135540455313 - 2⁴ = 3135540455297 is a prime.

It is a super-2 number, since 2×3135540455313² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3135540455353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96673183 + ... + 96705611.

It is an arithmetic number, because the mean of its divisors is an integer number (102115389420).

Almost surely, 2^{3135540455313} is an apocalyptic number.

It is an amenable number.

3135540455313 is a deficient number, since it is larger than the sum of its proper divisors (1765998236847).

3135540455313 is a wasteful number, since it uses less digits than its factorization.

3135540455313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37598 (or 37591 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

The spelling of 3135540455313 in words is "three trillion, one hundred thirty-five billion, five hundred forty million, four hundred fifty-five thousand, three hundred thirteen".