313021255680 has 1664 divisors, whose sum is σ = 1385964380160. Its totient is φ = 65399685120.

The previous prime is 313021255639. The next prime is 313021255681. The reversal of 313021255680 is 86552120313.

313021255680 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 21 + 2 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313021255681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4408750045 + ... + 4408750115.

Almost surely, 2^313021255680 is an apocalyptic number.

313021255680 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 313021255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692982190080).

313021255680 is an abundant number, since it is smaller than the sum of its proper divisors (1072943124480).

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

313021255680 is a wasteful number, since it uses less digits than its factorization.

313021255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 313021255680 its reverse (86552120313), we get a palindrome (399573375993).

The spelling of 313021255680 in words is "three hundred thirteen billion, twenty-one million, two hundred fifty-five thousand, six hundred eighty".