313020311232000 has 320 divisors, whose sum is σ = 1057775209178688. Its totient is φ = 82103685120000.

The previous prime is 313020311231989. The next prime is 313020311232053. The reversal of 313020311232000 is 232113020313.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 1651231 + ... + 25075230.

Almost surely, 2^{313020311232000} is an apocalyptic number.

313020311232000 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 313020311232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528887604589344).

313020311232000 is an abundant number, since it is smaller than the sum of its proper divisors (744754897946688).

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

313020311232000 is an equidigital number, since it uses as much as digits as its factorization.

313020311232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26726558 (or 26726532 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313020311232000 its reverse (232113020313), we get a palindrome (313252424252313).

The spelling of 313020311232000 in words is "three hundred thirteen trillion, twenty billion, three hundred eleven million, two hundred thirty-two thousand".