131166334431 has 48 divisors (see below), whose sum is σ = 214057479168. Its totient is φ = 76707355200.

The previous prime is 131166334423. The next prime is 131166334463. The reversal of 131166334431 is 134433661131.

131166334431 is a `hidden beast` number, since 1 + 3 + 1 + 16 + 633 + 4 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 131166334431 - 2³ = 131166334423 is a prime.

It is a super-2 number, since 2×131166334431² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131166335431) 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, 131845 + ... + 528881.

It is an arithmetic number, because the mean of its divisors is an integer number (4459530816).

Almost surely, 2^131166334431 is an apocalyptic number.

131166334431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131166334431 is a deficient number, since it is larger than the sum of its proper divisors (82891144737).

131166334431 is a wasteful number, since it uses less digits than its factorization.

131166334431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397172 (or 397169 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

Adding to 131166334431 its reverse (134433661131), we get a palindrome (265599995562).

The spelling of 131166334431 in words is "one hundred thirty-one billion, one hundred sixty-six million, three hundred thirty-four thousand, four hundred thirty-one".