3135306035313 has 24 divisors (see below), whose sum is σ = 4575445318080. Its totient is φ = 2068680621600.

The previous prime is 3135306035287. The next prime is 3135306035321.

3135306035313 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 30 + 603 + 5 + 3 + 13 = 666.

3135306035313 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-3135306035313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3135306035333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586218 + ... + 2964236.

It is an arithmetic number, because the mean of its divisors is an integer number (190643554920).

Almost surely, 2^{3135306035313} is an apocalyptic number.

It is an amenable number.

3135306035313 is a deficient number, since it is larger than the sum of its proper divisors (1440139282767).

3135306035313 is a wasteful number, since it uses less digits than its factorization.

3135306035313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380629 (or 1380626 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 36.

The spelling of 3135306035313 in words is "three trillion, one hundred thirty-five billion, three hundred six million, thirty-five thousand, three hundred thirteen".