131963988803364 has 27 divisors (see below), whose sum is σ = 333575812592113. Its totient is φ = 43987973292672.

The previous prime is 131963988803359. The next prime is 131963988803389. The reversal of 131963988803364 is 463308889369131.

The square root of 131963988803364 is 11487558.

It is a perfect power (a square), and thus also a powerful number.

131963988803364 is a `hidden beast` number, since 1 + 319 + 63 + 98 + 8 + 80 + 33 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92998828088100 + 38965160715264 = 9643590^2 + 6242208^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131963988803292 and 131963988803301.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67968052 + ... + 69882644.

Almost surely, 2^{131963988803364} is an apocalyptic number.

131963988803364 is the 11487558-th square number.

It is an amenable number.

131963988803364 is an abundant number, since it is smaller than the sum of its proper divisors (201611823788749).

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

131963988803364 is an frugal number, since it uses more digits than its factorization.

131963988803364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829196 (or 1914598 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 131963988803364 in words is "one hundred thirty-one trillion, nine hundred sixty-three billion, nine hundred eighty-eight million, eight hundred three thousand, three hundred sixty-four".