313200430310400 has 528 divisors, whose sum is σ = 1047118914576384. Its totient is φ = 82556894085120.

The previous prime is 313200430310309. The next prime is 313200430310527. The reversal of 313200430310400 is 4013034002313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4326952609 + ... + 4327024991.

Almost surely, 2^{313200430310400} is an apocalyptic number.

313200430310400 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 313200430310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523559457288192).

313200430310400 is an abundant number, since it is smaller than the sum of its proper divisors (733918484265984).

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

313200430310400 is a wasteful number, since it uses less digits than its factorization.

313200430310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73066 (or 73043 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 313200430310400 its reverse (4013034002313), we get a palindrome (317213464312713).

The spelling of 313200430310400 in words is "three hundred thirteen trillion, two hundred billion, four hundred thirty million, three hundred ten thousand, four hundred".