10313202313200 has 120 divisors (see below), whose sum is σ = 34979955679728. Its totient is φ = 2588411555840.

The previous prime is 10313202313163. The next prime is 10313202313207. The reversal of 10313202313200 is 231320231301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313202313207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252754167 + ... + 252794966.

Almost surely, 2^{10313202313200} is an apocalyptic number.

10313202313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313202313200 is an abundant number, since it is smaller than the sum of its proper divisors (24666753366528).

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

10313202313200 is a wasteful number, since it uses less digits than its factorization.

10313202313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505549171 (or 505549160 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10313202313200 its reverse (231320231301), we get a palindrome (10544522544501).

The spelling of 10313202313200 in words is "ten trillion, three hundred thirteen billion, two hundred two million, three hundred thirteen thousand, two hundred".