313341204400 has 480 divisors, whose sum is σ = 918781194240. Its totient is φ = 100445184000.

The previous prime is 313341204377. The next prime is 313341204409. The reversal of 313341204400 is 4402143313.

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

It is not an unprimeable number, because it can be changed into a prime (313341204409) 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, 301579081 + ... + 301580119.

It is an arithmetic number, because the mean of its divisors is an integer number (1914127488).

Almost surely, 2^313341204400 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 313341204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459390597120).

313341204400 is an abundant number, since it is smaller than the sum of its proper divisors (605439989840).

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

313341204400 is a wasteful number, since it uses less digits than its factorization.

313341204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1202 counting only the distinct ones).

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

Adding to 313341204400 its reverse (4402143313), we get a palindrome (317743347713).

The spelling of 313341204400 in words is "three hundred thirteen billion, three hundred forty-one million, two hundred four thousand, four hundred".