232002131010000 has 600 divisors, whose sum is σ = 833402279777760. Its totient is φ = 55265927040000.

The previous prime is 232002131009959. The next prime is 232002131010011. The reversal of 232002131010000 is 10131200232.

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 (15).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 374480491 + ... + 375099509.

Almost surely, 2^{232002131010000} is an apocalyptic number.

232002131010000 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 232002131010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416701139888880).

232002131010000 is an abundant number, since it is smaller than the sum of its proper divisors (601400148767760).

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

232002131010000 is a wasteful number, since it uses less digits than its factorization.

232002131010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619125 (or 619073 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 232002131010000 its reverse (10131200232), we get a palindrome (232012262210232).

The spelling of 232002131010000 in words is "two hundred thirty-two trillion, two billion, one hundred thirty-one million, ten thousand".