313340225100 has 288 divisors, whose sum is σ = 1062268010496. Its totient is φ = 69824467200.

The previous prime is 313340225087. The next prime is 313340225111. The reversal of 313340225100 is 1522043313.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25952065 + ... + 25964135.

It is an arithmetic number, because the mean of its divisors is an integer number (3688430592).

Almost surely, 2^313340225100 is an apocalyptic number.

313340225100 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 313340225100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531134005248).

313340225100 is an abundant number, since it is smaller than the sum of its proper divisors (748927785396).

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

313340225100 is a wasteful number, since it uses less digits than its factorization.

313340225100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12405 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 313340225100 its reverse (1522043313), we get a palindrome (314862268413).

The spelling of 313340225100 in words is "three hundred thirteen billion, three hundred forty million, two hundred twenty-five thousand, one hundred".