313314100 has 36 divisors (see below), whose sum is σ = 741702528. Its totient is φ = 113932000.

The previous prime is 313314091. The next prime is 313314101. The reversal of 313314100 is 1413313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313314101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141316 + ... + 143515.

It is an arithmetic number, because the mean of its divisors is an integer number (20602848).

Almost surely, 2^313314100 is an apocalyptic number.

It is an amenable number.

313314100 is an abundant number, since it is smaller than the sum of its proper divisors (428388428).

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

313314100 is a wasteful number, since it uses less digits than its factorization.

313314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284856 (or 284849 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313314100 is about 17700.6807778684. The cubic root of 313314100 is about 679.1931751397.

Adding to 313314100 its reverse (1413313), we get a palindrome (314727413).

It can be divided in two parts, 3133 and 14100, that multiplied together give a triangular number (44175300 = T₉₃₉₉).

The spelling of 313314100 in words is "three hundred thirteen million, three hundred fourteen thousand, one hundred".