313113222021120 has 256 divisors, whose sum is σ = 1002027681689760. Its totient is φ = 83490137702400.

The previous prime is 313113222021053. The next prime is 313113222021211. The reversal of 313113222021120 is 21120222311313.

It is a tau number, because it is divible by the number of its divisors (256).

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

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 15 ways as a sum of consecutive naturals, for example, 10381378840 + ... + 10381409000.

Almost surely, 2^{313113222021120} is an apocalyptic number.

313113222021120 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 313113222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501013840844880).

313113222021120 is an abundant number, since it is smaller than the sum of its proper divisors (688914459668640).

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

313113222021120 is an equidigital number, since it uses as much as digits as its factorization.

313113222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51320 (or 51292 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313113222021120 its reverse (21120222311313), we get a palindrome (334233444332433).

The spelling of 313113222021120 in words is "three hundred thirteen trillion, one hundred thirteen billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".