131414004203031 has 64 divisors (see below), whose sum is σ = 212676084380160. Its totient is φ = 79536236532480.

The previous prime is 131414004203017. The next prime is 131414004203033. The reversal of 131414004203031 is 130302400414131.

131414004203031 is a `hidden beast` number, since 1 + 3 + 141 + 40 + 0 + 420 + 30 + 31 = 666.

It is not a de Polignac number, because 131414004203031 - 2⁹ = 131414004202519 is a prime.

It is a super-2 number, since 2×131414004203031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131414004202986 and 131414004203004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414004203033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 728744580 + ... + 728924886.

It is an arithmetic number, because the mean of its divisors is an integer number (3323063818440).

Almost surely, 2^{131414004203031} is an apocalyptic number.

131414004203031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131414004203031 is a deficient number, since it is larger than the sum of its proper divisors (81262080177129).

131414004203031 is a wasteful number, since it uses less digits than its factorization.

131414004203031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183661 (or 183655 counting only the distinct ones).

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

Adding to 131414004203031 its reverse (130302400414131), we get a palindrome (261716404617162).

The spelling of 131414004203031 in words is "one hundred thirty-one trillion, four hundred fourteen billion, four million, two hundred three thousand, thirty-one".