313332100 has 72 divisors (see below), whose sum is σ = 725344200. Its totient is φ = 117073920.

The previous prime is 313332079. The next prime is 313332113. The reversal of 313332100 is 1233313.

It can be written as a sum of positive squares in 12 ways, for example, as 64513024 + 248819076 = 8032^2 + 15774^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 252682 + ... + 253918.

It is an arithmetic number, because the mean of its divisors is an integer number (10074225).

Almost surely, 2^313332100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362672100).

313332100 is an abundant number, since it is smaller than the sum of its proper divisors (412012100).

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

313332100 is a wasteful number, since it uses less digits than its factorization.

313332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 313332100 is about 17701.1892255859. The cubic root of 313332100 is about 679.2061815158.

Adding to 313332100 its reverse (1233313), we get a palindrome (314565413).

It can be divided in two parts, 31333 and 2100, that added together give a palindrome (33433).

The spelling of 313332100 in words is "three hundred thirteen million, three hundred thirty-two thousand, one hundred".