313400100 has 288 divisors, whose sum is σ = 1076181120. Its totient is φ = 69672960.

The previous prime is 313400099. The next prime is 313400123. The reversal of 313400100 is 1004313.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1922619 + ... + 1922781.

It is an arithmetic number, because the mean of its divisors is an integer number (3736740).

Almost surely, 2^313400100 is an apocalyptic number.

313400100 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 313400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538090560).

313400100 is an abundant number, since it is smaller than the sum of its proper divisors (762781020).

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

313400100 is a wasteful number, since it uses less digits than its factorization.

313400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 313400100 is about 17703.1098962866. The cubic root of 313400100 is about 679.2553122194.

Adding to 313400100 its reverse (1004313), we get a palindrome (314404413).

The spelling of 313400100 in words is "three hundred thirteen million, four hundred thousand, one hundred".