313901280 has 576 divisors, whose sum is σ = 1415232000. Its totient is φ = 61378560.

The previous prime is 313901279. The next prime is 313901281. The reversal of 313901280 is 82109313.

It is an interprime number because it is at equal distance from previous prime (313901279) and next prime (313901281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313901281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106646 + ... + 2106794.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^313901280 is an apocalyptic number.

313901280 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 313901280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

313901280 is an abundant number, since it is smaller than the sum of its proper divisors (1101330720).

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

313901280 is a wasteful number, since it uses less digits than its factorization.

313901280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 313901280 is about 17717.2593817441. The cubic root of 313901280 is about 679.6172009259.

The spelling of 313901280 in words is "three hundred thirteen million, nine hundred one thousand, two hundred eighty".