131414410233 has 64 divisors (see below), whose sum is σ = 206117683200. Its totient is φ = 82520933760.

The previous prime is 131414410189. The next prime is 131414410243. The reversal of 131414410233 is 332014414131.

131414410233 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 14 + 410 + 233 = 666.

It is not a de Polignac number, because 131414410233 - 2²² = 131410215929 is a prime.

It is a super-2 number, since 2×131414410233² (a number of 23 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 = 131414410197 and 131414410206.

It is not an unprimeable number, because it can be changed into a prime (131414410243) 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, 119142160 + ... + 119143262.

It is an arithmetic number, because the mean of its divisors is an integer number (3220588800).

Almost surely, 2^131414410233 is an apocalyptic number.

It is an amenable number.

131414410233 is a deficient number, since it is larger than the sum of its proper divisors (74703272967).

131414410233 is a wasteful number, since it uses less digits than its factorization.

131414410233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2253 counting only the distinct ones).

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

Adding to 131414410233 its reverse (332014414131), we get a palindrome (463428824364).

The spelling of 131414410233 in words is "one hundred thirty-one billion, four hundred fourteen million, four hundred ten thousand, two hundred thirty-three".