131405766111 has 48 divisors (see below), whose sum is σ = 198033518592. Its totient is φ = 83869948800.

The previous prime is 131405766109. The next prime is 131405766113. The reversal of 131405766111 is 111667504131.

It is a happy number.

131405766111 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 576 + 61 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (131405766109) and next prime (131405766113).

It is not a de Polignac number, because 131405766111 - 2¹ = 131405766109 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131405766113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41178526 + ... + 41181716.

It is an arithmetic number, because the mean of its divisors is an integer number (4125698304).

Almost surely, 2^131405766111 is an apocalyptic number.

131405766111 is a deficient number, since it is larger than the sum of its proper divisors (66627752481).

131405766111 is a wasteful number, since it uses less digits than its factorization.

131405766111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 131405766111 in words is "one hundred thirty-one billion, four hundred five million, seven hundred sixty-six thousand, one hundred eleven".