131213001001320 has 192 divisors, whose sum is σ = 500534536993920. Its totient is φ = 29180960819712.

The previous prime is 131213001001307. The next prime is 131213001001363. The reversal of 131213001001320 is 23100100312131.

131213001001320 is a `hidden beast` number, since 1 + 31 + 2 + 1 + 300 + 10 + 0 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131213001001293 and 131213001001302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703537182 + ... + 703723661.

It is an arithmetic number, because the mean of its divisors is an integer number (2606950713510).

Almost surely, 2^{131213001001320} is an apocalyptic number.

131213001001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213001001320 is an abundant number, since it is smaller than the sum of its proper divisors (369321535992600).

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

131213001001320 is a wasteful number, since it uses less digits than its factorization.

131213001001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407260904 (or 1407260897 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131213001001320 its reverse (23100100312131), we get a palindrome (154313101313451).

The spelling of 131213001001320 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one million, one thousand, three hundred twenty".