131966126761 has 32 divisors (see below), whose sum is σ = 166323691520. Its totient is φ = 102155644800.

The previous prime is 131966126749. The next prime is 131966126777. The reversal of 131966126761 is 167621669131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131966126761 - 2¹⁹ = 131965602473 is a prime.

It is a super-2 number, since 2×131966126761² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131966126731) 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, 37381 + ... + 515101.

It is an arithmetic number, because the mean of its divisors is an integer number (5197615360).

Almost surely, 2^131966126761 is an apocalyptic number.

It is an amenable number.

131966126761 is a deficient number, since it is larger than the sum of its proper divisors (34357564759).

131966126761 is a wasteful number, since it uses less digits than its factorization.

131966126761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477845.

The product of its digits is 489888, while the sum is 49.

The spelling of 131966126761 in words is "one hundred thirty-one billion, nine hundred sixty-six million, one hundred twenty-six thousand, seven hundred sixty-one".