131010744776768 has 112 divisors (see below), whose sum is σ = 278251255779840. Its totient is φ = 61016733388800.

The previous prime is 131010744776767. The next prime is 131010744776819. The reversal of 131010744776768 is 867677447010131.

It is a happy number.

It is a super-3 number, since 3×131010744776768³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131010744776768.

It is not an unprimeable number, because it can be changed into a prime (131010744776767) 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 15 ways as a sum of consecutive naturals, for example, 191849180 + ... + 192530852.

It is an arithmetic number, because the mean of its divisors is an integer number (2484386212320).

Almost surely, 2^{131010744776768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131010744776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139125627889920).

131010744776768 is an abundant number, since it is smaller than the sum of its proper divisors (147240511003072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131010744776768 is a wasteful number, since it uses less digits than its factorization.

131010744776768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684356 (or 684346 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 62.

The spelling of 131010744776768 in words is "one hundred thirty-one trillion, ten billion, seven hundred forty-four million, seven hundred seventy-six thousand, seven hundred sixty-eight".