131001961825 has 36 divisors (see below), whose sum is σ = 189023376060. Its totient is φ = 89801523840.

The previous prime is 131001961819. The next prime is 131001961913. The reversal of 131001961825 is 528169100131.

It can be written as a sum of positive squares in 6 ways, for example, as 5623650081 + 125378311744 = 74991^2 + 354088^2 .

It is not a de Polignac number, because 131001961825 - 2⁷ = 131001961697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4312791 + ... + 4343059.

It is an arithmetic number, because the mean of its divisors is an integer number (5250649335).

Almost surely, 2^131001961825 is an apocalyptic number.

It is an amenable number.

131001961825 is a deficient number, since it is larger than the sum of its proper divisors (58021414235).

131001961825 is a wasteful number, since it uses less digits than its factorization.

131001961825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33826 (or 33814 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 131001961825 in words is "one hundred thirty-one billion, one million, nine hundred sixty-one thousand, eight hundred twenty-five".