131313212122032 has 80 divisors (see below), whose sum is σ = 384937075783680. Its totient is φ = 42839771323968.

The previous prime is 131313212122031. The next prime is 131313212122039. The reversal of 131313212122032 is 230221212313131.

131313212122032 is a `hidden beast` number, since 1 + 3 + 1 + 313 + 2 + 121 + 220 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131313212121987 and 131313212122005.

It is not an unprimeable number, because it can be changed into a prime (131313212122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3233658088 + ... + 3233698695.

It is an arithmetic number, because the mean of its divisors is an integer number (4811713447296).

Almost surely, 2^{131313212122032} is an apocalyptic number.

131313212122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131313212122032 is an abundant number, since it is smaller than the sum of its proper divisors (253623863661648).

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

131313212122032 is a wasteful number, since it uses less digits than its factorization.

131313212122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467356847 (or 6467356835 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131313212122032 its reverse (230221212313131), we get a palindrome (361534424435163).

The spelling of 131313212122032 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred twelve million, one hundred twenty-two thousand, thirty-two".