313034120142400 has 168 divisors, whose sum is σ = 777845000023424. Its totient is φ = 123986229811200.

The previous prime is 313034120142391. The next prime is 313034120142433. The reversal of 313034120142400 is 4241021430313.

It is a happy 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, 68462254 + ... + 72891346.

Almost surely, 2^{313034120142400} 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 313034120142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388922500011712).

313034120142400 is an abundant number, since it is smaller than the sum of its proper divisors (464810879881024).

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

313034120142400 is a wasteful number, since it uses less digits than its factorization.

313034120142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429549 (or 4429534 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313034120142400 its reverse (4241021430313), we get a palindrome (317275141572713).

The spelling of 313034120142400 in words is "three hundred thirteen trillion, thirty-four billion, one hundred twenty million, one hundred forty-two thousand, four hundred".