313101313 has 16 divisors (see below), whose sum is σ = 373858560. Its totient is φ = 256536000.

The previous prime is 313101311. The next prime is 313101319.

313101313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313101313 - 2¹ = 313101311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12868 + ... + 28138.

It is an arithmetic number, because the mean of its divisors is an integer number (23366160).

Almost surely, 2^313101313 is an apocalyptic number.

It is an amenable number.

313101313 is a deficient number, since it is larger than the sum of its proper divisors (60757247).

313101313 is a wasteful number, since it uses less digits than its factorization.

313101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15408.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 313101313 is about 17694.6690559615. The cubic root of 313101313 is about 679.0393824993.

It can be divided in two parts, 31310 and 1313, that added together give a palindrome (32623).

The spelling of 313101313 in words is "three hundred thirteen million, one hundred one thousand, three hundred thirteen".