314130131 has 24 divisors (see below), whose sum is σ = 389838960. Its totient is φ = 251500032.

The previous prime is 314130127. The next prime is 314130133. The reversal of 314130131 is 131031413.

314130131 = T₄₁₈ + T₄₁₉ + ... + T₁₂₅₀.

314130131 = 50³ + 51³ + ... + 188³.

It is not a de Polignac number, because 314130131 - 2² = 314130127 is a prime.

It is a super-2 number, since 2×314130131² = 197355478404154322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (314130133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114431 + ... + 117143.

It is an arithmetic number, because the mean of its divisors is an integer number (16243290).

Almost surely, 2^314130131 is an apocalyptic number.

314130131 is a deficient number, since it is larger than the sum of its proper divisors (75708829).

314130131 is a wasteful number, since it uses less digits than its factorization.

314130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 314130131 is about 17723.7166249069. The cubic root of 314130131 is about 679.7823200301.

Adding to 314130131 its reverse (131031413), we get a palindrome (445161544).

The spelling of 314130131 in words is "three hundred fourteen million, one hundred thirty thousand, one hundred thirty-one".