3135322235313 has 12 divisors (see below), whose sum is σ = 4592584683648. Its totient is φ = 2060775177720.

The previous prime is 3135322235303. The next prime is 3135322235351.

3135322235313 is a `hidden beast` number, since 3 + 13 + 5 + 322 + 2 + 3 + 5 + 313 = 666.

3135322235313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3135322235313 - 2¹⁷ = 3135322104241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3135322235303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2453303145 + ... + 2453304422.

It is an arithmetic number, because the mean of its divisors is an integer number (382715390304).

Almost surely, 2^{3135322235313} is an apocalyptic number.

It is an amenable number.

3135322235313 is a deficient number, since it is larger than the sum of its proper divisors (1457262448335).

3135322235313 is a wasteful number, since it uses less digits than its factorization.

3135322235313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906607644 (or 4906607641 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

The spelling of 3135322235313 in words is "three trillion, one hundred thirty-five billion, three hundred twenty-two million, two hundred thirty-five thousand, three hundred thirteen".