313424100 has 288 divisors, whose sum is σ = 1123678080. Its totient is φ = 74304000.

The previous prime is 313424099. The next prime is 313424101. The reversal of 313424100 is 1424313.

It is an interprime number because it is at equal distance from previous prime (313424099) and next prime (313424101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313424101) 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, 1811614 + ... + 1811786.

It is an arithmetic number, because the mean of its divisors is an integer number (3901660).

Almost surely, 2^313424100 is an apocalyptic number.

313424100 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 313424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561839040).

313424100 is an abundant number, since it is smaller than the sum of its proper divisors (810253980).

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

313424100 is a wasteful number, since it uses less digits than its factorization.

313424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313424100 is about 17703.7877303135. The cubic root of 313424100 is about 679.2726507710.

Adding to 313424100 its reverse (1424313), we get a palindrome (314848413).

The spelling of 313424100 in words is "three hundred thirteen million, four hundred twenty-four thousand, one hundred".