131321506635 has 192 divisors, whose sum is σ = 267664849920. Its totient is φ = 60568704000.

The previous prime is 131321506607. The next prime is 131321506649. The reversal of 131321506635 is 536605123131.

131321506635 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 15 + 0 + 6 + 635 = 666.

It is not a de Polignac number, because 131321506635 - 2⁶ = 131321506571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131321506635.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88670095 + ... + 88671575.

It is an arithmetic number, because the mean of its divisors is an integer number (1394087760).

Almost surely, 2^131321506635 is an apocalyptic number.

131321506635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131321506635 is an abundant number, since it is smaller than the sum of its proper divisors (136343343285).

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

131321506635 is a wasteful number, since it uses less digits than its factorization.

131321506635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 131321506635 its reverse (536605123131), we get a palindrome (667926629766).

The spelling of 131321506635 in words is "one hundred thirty-one billion, three hundred twenty-one million, five hundred six thousand, six hundred thirty-five".