313242100 has 72 divisors (see below), whose sum is σ = 703649408. Its totient is φ = 120960000.

The previous prime is 313242089. The next prime is 313242121. The reversal of 313242100 is 1242313.

It is a happy number.

It is a super-2 number, since 2×313242100² = 196241226424820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416725 + ... + 417475.

Almost surely, 2^313242100 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 313242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351824704).

313242100 is an abundant number, since it is smaller than the sum of its proper divisors (390407308).

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

313242100 is a wasteful number, since it uses less digits than its factorization.

313242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313242100 is about 17698.6468409311. The cubic root of 313242100 is about 679.1411446534.

Adding to 313242100 its reverse (1242313), we get a palindrome (314484413).

The spelling of 313242100 in words is "three hundred thirteen million, two hundred forty-two thousand, one hundred".