131414331304881 has 9 divisors (see below), whose sum is σ = 189820750449369. Its totient is φ = 87609531276036.

The previous prime is 131414331304871. The next prime is 131414331304903. The reversal of 131414331304881 is 188403133414131.

The square root of 131414331304881 is 11463609.

It is a perfect power (a square), and thus also a powerful number.

131414331304881 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 4 + 33 + 130 + 488 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 131414331304881 - 2¹¹ = 131414331302833 is a prime.

It is a super-2 number, since 2×131414331304881² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131414331304811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32480226 + ... + 36301428.

Almost surely, 2^{131414331304881} is an apocalyptic number.

131414331304881 is the 11463609-th square number.

131414331304881 is the 5731805-th centered octagonal number.

It is an amenable number.

131414331304881 is a deficient number, since it is larger than the sum of its proper divisors (58406419144488).

131414331304881 is an frugal number, since it uses more digits than its factorization.

131414331304881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642412 (or 3821206 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 131414331304881 in words is "one hundred thirty-one trillion, four hundred fourteen billion, three hundred thirty-one million, three hundred four thousand, eight hundred eighty-one".