313042821120 has 896 divisors, whose sum is σ = 1201846394880. Its totient is φ = 77078200320.

The previous prime is 313042821067. The next prime is 313042821139. The reversal of 313042821120 is 21128240313.

313042821120 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 428 + 211 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788520762 + ... + 788521158.

Almost surely, 2^313042821120 is an apocalyptic number.

313042821120 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 313042821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600923197440).

313042821120 is an abundant number, since it is smaller than the sum of its proper divisors (888803573760).

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

313042821120 is a wasteful number, since it uses less digits than its factorization.

313042821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 313042821120 in words is "three hundred thirteen billion, forty-two million, eight hundred twenty-one thousand, one hundred twenty".