131285819364903 has 192 divisors, whose sum is σ = 237696201160704. Its totient is φ = 68134929408000.

The previous prime is 131285819364893. The next prime is 131285819364907. The reversal of 131285819364903 is 309463918582131.

131285819364903 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 8 + 58 + 1 + 93 + 6 + 490 + 3 = 666.

It is not a de Polignac number, because 131285819364903 - 2⁶ = 131285819364839 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131285819364907) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 727089813 + ... + 727270353.

It is an arithmetic number, because the mean of its divisors is an integer number (1238001047712).

Almost surely, 2^{131285819364903} is an apocalyptic number.

131285819364903 is a deficient number, since it is larger than the sum of its proper divisors (106410381795801).

131285819364903 is a wasteful number, since it uses less digits than its factorization.

131285819364903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180846 (or 180843 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 131285819364903 in words is "one hundred thirty-one trillion, two hundred eighty-five billion, eight hundred nineteen million, three hundred sixty-four thousand, nine hundred three".