314133222331413 has 24 divisors (see below), whose sum is σ = 477663379837280. Its totient is φ = 198385840470240.

The previous prime is 314133222331387. The next prime is 314133222331427.

314133222331413 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 3 + 2 + 2 + 233 + 1 + 413 = 666.

314133222331413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314133222331413 - 2⁵ = 314133222331381 is a prime.

It is a super-2 number, since 2×314133222331413² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314133222331463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62813578 + ... + 67629963.

Almost surely, 2^{314133222331413} is an apocalyptic number.

It is an amenable number.

314133222331413 is a deficient number, since it is larger than the sum of its proper divisors (163530157505867).

314133222331413 is a wasteful number, since it uses less digits than its factorization.

314133222331413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130457649 (or 130457646 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 314133222331413 in words is "three hundred fourteen trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-one thousand, four hundred thirteen".