314333121333413 has 64 divisors (see below), whose sum is σ = 391772752304640. Its totient is φ = 245566204416000.

The previous prime is 314333121333359. The next prime is 314333121333449.

314333121333413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314333121333413 - 2²⁰ = 314333120284837 is a prime.

It is a super-2 number, since 2×314333121333413² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314333121533413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15250735478 + ... + 15250756088.

It is an arithmetic number, because the mean of its divisors is an integer number (6121449254760).

Almost surely, 2^{314333121333413} is an apocalyptic number.

It is an amenable number.

314333121333413 is a deficient number, since it is larger than the sum of its proper divisors (77439630971227).

314333121333413 is a wasteful number, since it uses less digits than its factorization.

314333121333413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25198.

The product of its digits is 209952, while the sum is 38.

The spelling of 314333121333413 in words is "three hundred fourteen trillion, three hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-three thousand, four hundred thirteen".