313242242313 has 128 divisors (see below), whose sum is σ = 576616771584. Its totient is φ = 145971072000.

The previous prime is 313242242309. The next prime is 313242242317.

It is a happy number.

313242242313 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (313242242309) and next prime (313242242317).

It is not a de Polignac number, because 313242242313 - 2² = 313242242309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313242242317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164776663 + ... + 164778563.

It is an arithmetic number, because the mean of its divisors is an integer number (4504818528).

Almost surely, 2^313242242313 is an apocalyptic number.

313242242313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313242242313 is a deficient number, since it is larger than the sum of its proper divisors (263374529271).

313242242313 is a wasteful number, since it uses less digits than its factorization.

313242242313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 313242 and 242313, that added together give a palindrome (555555).

The spelling of 313242242313 in words is "three hundred thirteen billion, two hundred forty-two million, two hundred forty-two thousand, three hundred thirteen".