313223101111200 has 288 divisors, whose sum is σ = 1167880933086336. Its totient is φ = 71428506255360.

The previous prime is 313223101111181. The next prime is 313223101111231. The reversal of 313223101111200 is 2111101322313.

It is a super-2 number, since 2×313223101111200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 14254737 + ... + 28803536.

It is an arithmetic number, because the mean of its divisors is an integer number (4055142128772).

Almost surely, 2^{313223101111200} is an apocalyptic number.

313223101111200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313223101111200 is an abundant number, since it is smaller than the sum of its proper divisors (854657831975136).

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

313223101111200 is a wasteful number, since it uses less digits than its factorization.

313223101111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43058736 (or 43058723 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 313223101111200 its reverse (2111101322313), we get a palindrome (315334202433513).

The spelling of 313223101111200 in words is "three hundred thirteen trillion, two hundred twenty-three billion, one hundred one million, one hundred eleven thousand, two hundred".