314231242132413 has 12 divisors (see below), whose sum is σ = 466156857698428. Its totient is φ = 203825670572160.

The previous prime is 314231242132397. The next prime is 314231242132429.

314231242132413 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 3 + 1 + 24 + 213 + 2 + 413 = 666.

314231242132413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (314231242132397) and next prime (314231242132429).

It can be written as a sum of positive squares in 2 ways, for example, as 186916419940644 + 127314822191769 = 13671738^2 + 11283387^2 .

It is not a de Polignac number, because 314231242132413 - 2⁴ = 314231242132397 is a prime.

It is a super-2 number, since 2×314231242132413² (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 (314231242130413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471818681548 + ... + 471818682213.

Almost surely, 2^{314231242132413} is an apocalyptic number.

It is an amenable number.

314231242132413 is a deficient number, since it is larger than the sum of its proper divisors (151925615566015).

314231242132413 is a wasteful number, since it uses less digits than its factorization.

314231242132413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943637363804 (or 943637363801 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 314231242132413 in words is "three hundred fourteen trillion, two hundred thirty-one billion, two hundred forty-two million, one hundred thirty-two thousand, four hundred thirteen".