313223231232000 has 960 divisors, whose sum is σ = 1199156297058720. Its totient is φ = 81268531200000.

The previous prime is 313223231231983. The next prime is 313223231232017. The reversal of 313223231232000 is 232132322313.

313223231232000 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 2 + 323 + 12 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (313223231231983) and next prime (313223231232017).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 767027875 + ... + 767436125.

Almost surely, 2^{313223231232000} is an apocalyptic number.

313223231232000 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 313223231232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599578148529360).

313223231232000 is an abundant number, since it is smaller than the sum of its proper divisors (885933065826720).

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

313223231232000 is an equidigital number, since it uses as much as digits as its factorization.

313223231232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408337 (or 408298 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 313223231232000 its reverse (232132322313), we get a palindrome (313455363554313).

The spelling of 313223231232000 in words is "three hundred thirteen trillion, two hundred twenty-three billion, two hundred thirty-one million, two hundred thirty-two thousand".