10313013103200 has 432 divisors, whose sum is σ = 38514026350800. Its totient is φ = 2587787919360.

The previous prime is 10313013103139. The next prime is 10313013103303. The reversal of 10313013103200 is 230131031301.

It is a happy number.

10313013103200 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 30 + 1 + 310 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 912731151 + ... + 912742449.

It is an arithmetic number, because the mean of its divisors is an integer number (89152838775).

Almost surely, 2^{10313013103200} is an apocalyptic number.

10313013103200 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 10313013103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257013175400).

10313013103200 is an abundant number, since it is smaller than the sum of its proper divisors (28201013247600).

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

10313013103200 is a wasteful number, since it uses less digits than its factorization.

10313013103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18799 (or 18783 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10313013103200 its reverse (230131031301), we get a palindrome (10543144134501).

The spelling of 10313013103200 in words is "ten trillion, three hundred thirteen billion, thirteen million, one hundred three thousand, two hundred".