313104140203200 has 168 divisors, whose sum is σ = 1032981287734080. Its totient is φ = 83027987788800.

The previous prime is 313104140203163. The next prime is 313104140203237. The reversal of 313104140203200 is 2302041401313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313104140203163) and next prime (313104140203237).

It is a super-2 number, since 2×313104140203200² (a number of 30 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 181347586 + ... + 183065985.

Almost surely, 2^{313104140203200} is an apocalyptic number.

313104140203200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313104140203200 is an abundant number, since it is smaller than the sum of its proper divisors (719877147530880).

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

313104140203200 is a wasteful number, since it uses less digits than its factorization.

313104140203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364413775 (or 364413760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313104140203200 its reverse (2302041401313), we get a palindrome (315406181604513).

The spelling of 313104140203200 in words is "three hundred thirteen trillion, one hundred four billion, one hundred forty million, two hundred three thousand, two hundred".