131107738776 has 512 divisors, whose sum is σ = 438607872000. Its totient is φ = 31750963200.

The previous prime is 131107738771. The next prime is 131107738777. The reversal of 131107738776 is 677837701131.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131107738771) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99248196 + ... + 99249516.

It is an arithmetic number, because the mean of its divisors is an integer number (856656000).

Almost surely, 2^131107738776 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 131107738776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219303936000).

131107738776 is an abundant number, since it is smaller than the sum of its proper divisors (307500133224).

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

131107738776 is a wasteful number, since it uses less digits than its factorization.

131107738776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 51.

The spelling of 131107738776 in words is "one hundred thirty-one billion, one hundred seven million, seven hundred thirty-eight thousand, seven hundred seventy-six".