3135440445313 has 6 divisors (see below), whose sum is σ = 3446393216882. Its totient is φ = 2850400404720.

The previous prime is 3135440445299. The next prime is 3135440445349.

3135440445313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1773523437169 + 1361917008144 = 1331737^2 + 1167012^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3135440445313 is a prime.

It is a super-2 number, since 2×3135440445313² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3135440445413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12956365356 + ... + 12956365597.

Almost surely, 2^{3135440445313} is an apocalyptic number.

It is an amenable number.

3135440445313 is a deficient number, since it is larger than the sum of its proper divisors (310952771569).

3135440445313 is a wasteful number, since it uses less digits than its factorization.

3135440445313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25912730975 (or 25912730964 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 3135440445313 in words is "three trillion, one hundred thirty-five billion, four hundred forty million, four hundred forty-five thousand, three hundred thirteen".