10313031200 has 144 divisors (see below), whose sum is σ = 25727806440. Its totient is φ = 4035870720.

The previous prime is 10313031187. The next prime is 10313031269. The reversal of 10313031200 is 213031301.

It can be written as a sum of positive squares in 12 ways, for example, as 2341398544 + 7971632656 = 48388^2 + 89284^2 .

It is a super-2 number, since 2×10313031200² (a number of 21 digits) contains 22 as substring.

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, 8000156 + ... + 8001444.

Almost surely, 2^10313031200 is an apocalyptic number.

10313031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863903220).

10313031200 is an abundant number, since it is smaller than the sum of its proper divisors (15414775240).

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

10313031200 is a wasteful number, since it uses less digits than its factorization.

10313031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10313031200 its reverse (213031301), we get a palindrome (10526062501).

The spelling of 10313031200 in words is "ten billion, three hundred thirteen million, thirty-one thousand, two hundred".