314203414131 has 48 divisors (see below), whose sum is σ = 461211394176. Its totient is φ = 206103840768.

The previous prime is 314203414103. The next prime is 314203414157. The reversal of 314203414131 is 131414302413.

314203414131 is a `hidden beast` number, since 3 + 1 + 4 + 203 + 41 + 413 + 1 = 666.

It is not a de Polignac number, because 314203414131 - 2¹⁰ = 314203413107 is a prime.

It is a super-2 number, since 2×314203414131² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314203414095 and 314203414104.

It is not an unprimeable number, because it can be changed into a prime (314203414331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86962881 + ... + 86966493.

It is an arithmetic number, because the mean of its divisors is an integer number (9608570712).

Almost surely, 2^314203414131 is an apocalyptic number.

314203414131 is a deficient number, since it is larger than the sum of its proper divisors (147007980045).

314203414131 is a wasteful number, since it uses less digits than its factorization.

314203414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 314203414131 its reverse (131414302413), we get a palindrome (445617716544).

The spelling of 314203414131 in words is "three hundred fourteen billion, two hundred three million, four hundred fourteen thousand, one hundred thirty-one".