232133130240000 has 600 divisors, whose sum is σ = 843825831148608. Its totient is φ = 56274616320000.

The previous prime is 232133130239981. The next prime is 232133130240019. The reversal of 232133130240000 is 42031331232.

It is an interprime number because it is at equal distance from previous prime (232133130239981) and next prime (232133130240019).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337576527 + ... + 338263473.

Almost surely, 2^{232133130240000} is an apocalyptic number.

232133130240000 is a gapful number since it is divisible by the number (20) 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 232133130240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421912915574304).

232133130240000 is an abundant number, since it is smaller than the sum of its proper divisors (611692700908608).

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

232133130240000 is an frugal number, since it uses more digits than its factorization.

232133130240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687009 (or 686968 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 232133130240000 its reverse (42031331232), we get a palindrome (232175161571232).

The spelling of 232133130240000 in words is "two hundred thirty-two trillion, one hundred thirty-three billion, one hundred thirty million, two hundred forty thousand".