131333330000000 has 512 divisors, whose sum is σ = 349762483512000. Its totient is φ = 48947200000000.

The previous prime is 131333329999973. The next prime is 131333330000003. The reversal of 131333330000000 is 33333131.

It can be written as a sum of positive squares in 32 ways, for example, as 116454659285056 + 14878670714944 = 10791416^2 + 3857288^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131333330000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17169996176 + ... + 17170003824.

Almost surely, 2^{131333330000000} is an apocalyptic number.

131333330000000 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 131333330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174881241756000).

131333330000000 is an abundant number, since it is smaller than the sum of its proper divisors (218429153512000).

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

131333330000000 is an frugal number, since it uses more digits than its factorization.

131333330000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 131333330000000 its reverse (33333131), we get a palindrome (131333363333131).

The spelling of 131333330000000 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, three hundred thirty million", and thus it is an aban number.