131334134113 has 32 divisors (see below), whose sum is σ = 165249616896. Its totient is φ = 101598064128.

The previous prime is 131334134081. The next prime is 131334134123. The reversal of 131334134113 is 311431433131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131334134113 - 2⁵ = 131334134081 is a prime.

It is a super-2 number, since 2×131334134113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131334134123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4317445 + ... + 4347757.

It is an arithmetic number, because the mean of its divisors is an integer number (5164050528).

Almost surely, 2^131334134113 is an apocalyptic number.

131334134113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131334134113 is a deficient number, since it is larger than the sum of its proper divisors (33915482783).

131334134113 is a wasteful number, since it uses less digits than its factorization.

131334134113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31393.

The product of its digits is 3888, while the sum is 28.

Adding to 131334134113 its reverse (311431433131), we get a palindrome (442765567244).

The spelling of 131334134113 in words is "one hundred thirty-one billion, three hundred thirty-four million, one hundred thirty-four thousand, one hundred thirteen".