313413100 has 288 divisors, whose sum is σ = 951939072. Its totient is φ = 86400000.

The previous prime is 313413097. The next prime is 313413101. The reversal of 313413100 is 1314313.

It is a super-2 number, since 2×313413100² = 196455542503220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313413101) 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, 3103050 + ... + 3103150.

It is an arithmetic number, because the mean of its divisors is an integer number (3305344).

Almost surely, 2^313413100 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 313413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475969536).

313413100 is an abundant number, since it is smaller than the sum of its proper divisors (638525972).

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

313413100 is a wasteful number, since it uses less digits than its factorization.

313413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

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

The square root of 313413100 is about 17703.4770596061. The cubic root of 313413100 is about 679.2647040447.

Adding to 313413100 its reverse (1314313), we get a palindrome (314727413).

The spelling of 313413100 in words is "three hundred thirteen million, four hundred thirteen thousand, one hundred".