314136631413 has 48 divisors (see below), whose sum is σ = 518597793792. Its totient is φ = 181494324000.

The previous prime is 314136631397. The next prime is 314136631421.

314136631413 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 6 + 631 + 4 + 13 = 666.

314136631413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314136631413 - 2⁴ = 314136631397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314136631463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558243 + ... + 969488.

It is an arithmetic number, because the mean of its divisors is an integer number (10804120704).

Almost surely, 2^314136631413 is an apocalyptic number.

314136631413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314136631413 is a deficient number, since it is larger than the sum of its proper divisors (204461162379).

314136631413 is a wasteful number, since it uses less digits than its factorization.

314136631413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527846 (or 1527843 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 314136 and 631413, that added together give a palindrome (945549).

The spelling of 314136631413 in words is "three hundred fourteen billion, one hundred thirty-six million, six hundred thirty-one thousand, four hundred thirteen".