131764882314961 has 32 divisors (see below), whose sum is σ = 153175920887808. Its totient is φ = 111017113833600.

The previous prime is 131764882314853. The next prime is 131764882314971. The reversal of 131764882314961 is 169413288467131.

It is a cyclic number.

It is not a de Polignac number, because 131764882314961 - 2⁹ = 131764882314449 is a prime.

It is a super-2 number, since 2×131764882314961² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131764882314893 and 131764882314902.

It is not an unprimeable number, because it can be changed into a prime (131764882314971) 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, 1052011206 + ... + 1052136448.

It is an arithmetic number, because the mean of its divisors is an integer number (4786747527744).

Almost surely, 2^{131764882314961} is an apocalyptic number.

It is an amenable number.

131764882314961 is a deficient number, since it is larger than the sum of its proper divisors (21411038572847).

131764882314961 is a wasteful number, since it uses less digits than its factorization.

131764882314961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136141.

The product of its digits is 41803776, while the sum is 64.

The spelling of 131764882314961 in words is "one hundred thirty-one trillion, seven hundred sixty-four billion, eight hundred eighty-two million, three hundred fourteen thousand, nine hundred sixty-one".