131263475805 has 192 divisors, whose sum is σ = 297355484160. Its totient is φ = 54326160000.

The previous prime is 131263475741. The next prime is 131263475807. The reversal of 131263475805 is 508574362131.

It is a happy number.

131263475805 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 63 + 4 + 7 + 580 + 5 = 666.

It is not a de Polignac number, because 131263475805 - 2⁶ = 131263475741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131263475807) 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, 18260422 + ... + 18267608.

It is an arithmetic number, because the mean of its divisors is an integer number (1548726480).

Almost surely, 2^131263475805 is an apocalyptic number.

131263475805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131263475805 is an abundant number, since it is smaller than the sum of its proper divisors (166092008355).

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

131263475805 is a wasteful number, since it uses less digits than its factorization.

131263475805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7477 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 131263475805 in words is "one hundred thirty-one billion, two hundred sixty-three million, four hundred seventy-five thousand, eight hundred five".