131100330000000 has 512 divisors, whose sum is σ = 435733322019840. Its totient is φ = 34924736000000.

The previous prime is 131100329999993. The next prime is 131100330000041. The reversal of 131100330000000 is 33001131.

It is a super-2 number, since 2×131100330000000² (a number of 29 digits) contains 22 as substring.

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

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, 44789998537 + ... + 44790001463.

It is an arithmetic number, because the mean of its divisors is an integer number (851041644570).

Almost surely, 2^{131100330000000} is an apocalyptic number.

131100330000000 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 131100330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217866661009920).

131100330000000 is an abundant number, since it is smaller than the sum of its proper divisors (304632992019840).

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

131100330000000 is an frugal number, since it uses more digits than its factorization.

131100330000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4430 counting only the distinct ones).

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

Adding to 131100330000000 its reverse (33001131), we get a palindrome (131100363001131).

The spelling of 131100330000000 in words is "one hundred thirty-one trillion, one hundred billion, three hundred thirty million", and thus it is an aban number.