133131232320 has 224 divisors, whose sum is σ = 447990455808. Its totient is φ = 33380892672.

The previous prime is 133131232277. The next prime is 133131232331. The reversal of 133131232320 is 23232131331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19858089 + ... + 19864791.

It is an arithmetic number, because the mean of its divisors is an integer number (1999957392).

Almost surely, 2^133131232320 is an apocalyptic number.

133131232320 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 133131232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223995227904).

133131232320 is an abundant number, since it is smaller than the sum of its proper divisors (314859223488).

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

133131232320 is a wasteful number, since it uses less digits than its factorization.

133131232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133131232320 its reverse (23232131331), we get a palindrome (156363363651).

The spelling of 133131232320 in words is "one hundred thirty-three billion, one hundred thirty-one million, two hundred thirty-two thousand, three hundred twenty".