131330022003200 has 120 divisors (see below), whose sum is σ = 325713461003172. Its totient is φ = 52478235115520.

The previous prime is 131330022003181. The next prime is 131330022003233. The reversal of 131330022003200 is 2300220033131.

It can be written as a sum of positive squares in 6 ways, for example, as 73555185850624 + 57774836152576 = 8576432^2 + 7600976^2 .

It is a super-2 number, since 2×131330022003200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7254752 + ... + 17756448.

Almost surely, 2^{131330022003200} is an apocalyptic number.

131330022003200 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 131330022003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162856730501586).

131330022003200 is an abundant number, since it is smaller than the sum of its proper divisors (194383438999972).

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

131330022003200 is an equidigital number, since it uses as much as digits as its factorization.

131330022003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502702 (or 10502681 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131330022003200 its reverse (2300220033131), we get a palindrome (133630242036331).

The spelling of 131330022003200 in words is "one hundred thirty-one trillion, three hundred thirty billion, twenty-two million, three thousand, two hundred".