314331133413 has 16 divisors (see below), whose sum is σ = 457223893056. Its totient is φ = 190497479040.

The previous prime is 314331133393. The next prime is 314331133421.

314331133413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314331133413 - 2⁸ = 314331133157 is a prime.

It is a super-2 number, since 2×314331133413² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314331133423) 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, 993531 + ... + 1271127.

It is an arithmetic number, because the mean of its divisors is an integer number (28576493316).

Almost surely, 2^314331133413 is an apocalyptic number.

314331133413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314331133413 is a deficient number, since it is larger than the sum of its proper divisors (142892759643).

314331133413 is a wasteful number, since it uses less digits than its factorization.

314331133413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311924.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 314331 and 133413, that added together give a palindrome (447744).

The spelling of 314331133413 in words is "three hundred fourteen billion, three hundred thirty-one million, one hundred thirty-three thousand, four hundred thirteen".