313412223400 has 96 divisors (see below), whose sum is σ = 740186151840. Its totient is φ = 123400892160.

The previous prime is 313412223379. The next prime is 313412223427. The reversal of 313412223400 is 4322214313.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 3313159 + ... + 3406441.

It is an arithmetic number, because the mean of its divisors is an integer number (7710272415).

Almost surely, 2^313412223400 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 313412223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370093075920).

313412223400 is an abundant number, since it is smaller than the sum of its proper divisors (426773928440).

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

313412223400 is a wasteful number, since it uses less digits than its factorization.

313412223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93563 (or 93554 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 313412223400 its reverse (4322214313), we get a palindrome (317734437713).

The spelling of 313412223400 in words is "three hundred thirteen billion, four hundred twelve million, two hundred twenty-three thousand, four hundred".