131002213320000 has 1260 divisors, whose sum is σ = 529697259359268. Its totient is φ = 30899404800000.

The previous prime is 131002213319993. The next prime is 131002213320031. The reversal of 131002213320000 is 23312200131.

131002213320000 is a `hidden beast` number, since 1 + 310 + 0 + 2 + 21 + 332 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 34253114043456 + 96749099276544 = 5852616^2 + 9836112^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1611679360 + ... + 1611760640.

Almost surely, 2^{131002213320000} is an apocalyptic number.

131002213320000 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 131002213320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264848629679634).

131002213320000 is an abundant number, since it is smaller than the sum of its proper divisors (398695046039268).

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

131002213320000 is a wasteful number, since it uses less digits than its factorization.

131002213320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81378 (or 81339 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131002213320000 its reverse (23312200131), we get a palindrome (131025525520131).

The spelling of 131002213320000 in words is "one hundred thirty-one trillion, two billion, two hundred thirteen million, three hundred twenty thousand".