131321003313000 has 256 divisors, whose sum is σ = 416634026215680. Its totient is φ = 34428662400000.

The previous prime is 131321003312999. The next prime is 131321003313011. The reversal of 131321003313000 is 313300123131.

It is a super-2 number, since 2×131321003313000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391635415 + ... + 391970585.

It is an arithmetic number, because the mean of its divisors is an integer number (1627476664905).

Almost surely, 2^{131321003313000} is an apocalyptic number.

131321003313000 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 131321003313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208317013107840).

131321003313000 is an abundant number, since it is smaller than the sum of its proper divisors (285313022902680).

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

131321003313000 is a wasteful number, since it uses less digits than its factorization.

131321003313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337397 (or 337383 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131321003313000 its reverse (313300123131), we get a palindrome (131634303436131).

The spelling of 131321003313000 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, three million, three hundred thirteen thousand".