131313000000 has 1176 divisors, whose sum is σ = 551966684736. Its totient is φ = 26956800000.

The previous prime is 131312999933. The next prime is 131313000019. The reversal of 131313000000 is 313131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 131313000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3548999982 + ... + 3549000018.

Almost surely, 2^131313000000 is an apocalyptic number.

131313000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275983342368).

131313000000 is an abundant number, since it is smaller than the sum of its proper divisors (420653684736).

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

131313000000 is an frugal number, since it uses more digits than its factorization.

131313000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 131313000000 its reverse (313131), we get a palindrome (131313313131).

The spelling of 131313000000 in words is "one hundred thirty-one billion, three hundred thirteen million", and thus it is an aban number.