314133331413 has 32 divisors (see below), whose sum is σ = 477192425472. Its totient is φ = 181951563200.

The previous prime is 314133331409. The next prime is 314133331453.

314133331413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314133331413 - 2² = 314133331409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314133331453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721156 + ... + 1071602.

It is an arithmetic number, because the mean of its divisors is an integer number (14912263296).

Almost surely, 2^314133331413 is an apocalyptic number.

314133331413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314133331413 is a deficient number, since it is larger than the sum of its proper divisors (163059094059).

314133331413 is a wasteful number, since it uses less digits than its factorization.

314133331413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351665.

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

It can be divided in two parts, 314133 and 331413, that added together give a palindrome (645546).

The spelling of 314133331413 in words is "three hundred fourteen billion, one hundred thirty-three million, three hundred thirty-one thousand, four hundred thirteen".