131233131232320 has 896 divisors, whose sum is σ = 459558350254080. Its totient is φ = 31534652620800.

The previous prime is 131233131232319. The next prime is 131233131232397. The reversal of 131233131232320 is 23232131332131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 30813130351 + ... + 30813134609.

It is an arithmetic number, because the mean of its divisors is an integer number (512899944480).

Almost surely, 2^{131233131232320} is an apocalyptic number.

131233131232320 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 131233131232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229779175127040).

131233131232320 is an abundant number, since it is smaller than the sum of its proper divisors (328325219021760).

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

131233131232320 is a wasteful number, since it uses less digits than its factorization.

131233131232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 131233131232320 its reverse (23232131332131), we get a palindrome (154465262564451).

The spelling of 131233131232320 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, one hundred thirty-one million, two hundred thirty-two thousand, three hundred twenty".