313103280 has 320 divisors, whose sum is σ = 1238492160. Its totient is φ = 63700992.

The previous prime is 313103269. The next prime is 313103281. The reversal of 313103280 is 82301313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (313103281) by changing a digit.

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, 542352 + ... + 542928.

It is an arithmetic number, because the mean of its divisors is an integer number (3870288).

Almost surely, 2^313103280 is an apocalyptic number.

313103280 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 313103280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619246080).

313103280 is an abundant number, since it is smaller than the sum of its proper divisors (925388880).

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

313103280 is a wasteful number, since it uses less digits than its factorization.

313103280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 313103280 is about 17694.7246375862. The cubic root of 313103280 is about 679.0408044753.

Adding to 313103280 its reverse (82301313), we get a palindrome (395404593).

The spelling of 313103280 in words is "three hundred thirteen million, one hundred three thousand, two hundred eighty".