313213323101200 has 60 divisors (see below), whose sum is σ = 796759421047380. Its totient is φ = 117915603988480.

The previous prime is 313213323101177. The next prime is 313213323101201. The reversal of 313213323101200 is 2101323312313.

It can be written as a sum of positive squares in 6 ways, for example, as 1548053547264 + 311665269553936 = 1244208^2 + 17654044^2 .

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 (313213323101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23030384605 + ... + 23030398204.

It is an arithmetic number, because the mean of its divisors is an integer number (13279323684123).

Almost surely, 2^{313213323101200} is an apocalyptic number.

It is an amenable number.

313213323101200 is an abundant number, since it is smaller than the sum of its proper divisors (483546097946180).

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

313213323101200 is a wasteful number, since it uses less digits than its factorization.

313213323101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46060782844 (or 46060782833 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 313213323101200 its reverse (2101323312313), we get a palindrome (315314646413513).

The spelling of 313213323101200 in words is "three hundred thirteen trillion, two hundred thirteen billion, three hundred twenty-three million, one hundred one thousand, two hundred".