321232113000 has 192 divisors, whose sum is σ = 1115110685520. Its totient is φ = 83346624000.

The previous prime is 321232112989. The next prime is 321232113031. The reversal of 321232113000 is 311232123.

321232113000 is a `hidden beast` number, since 3 + 212 + 321 + 130 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76422564 + 321155690436 = 8742^2 + 566706^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 149331 + ... + 815330.

Almost surely, 2^321232113000 is an apocalyptic number.

321232113000 is a gapful number since it is divisible by the number (30) 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 321232113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557555342760).

321232113000 is an abundant number, since it is smaller than the sum of its proper divisors (793878572520).

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

321232113000 is a wasteful number, since it uses less digits than its factorization.

321232113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964725 (or 964708 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321232113000 its reverse (311232123), we get a palindrome (321543345123).

The spelling of 321232113000 in words is "three hundred twenty-one billion, two hundred thirty-two million, one hundred thirteen thousand".