10013203323200 has 336 divisors, whose sum is σ = 30725267683200. Its totient is φ = 3120303513600.

The previous prime is 10013203323173. The next prime is 10013203323329. The reversal of 10013203323200 is 232330231001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018735886 + ... + 1018745714.

Almost surely, 2^{10013203323200} is an apocalyptic number.

10013203323200 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 10013203323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362633841600).

10013203323200 is an abundant number, since it is smaller than the sum of its proper divisors (20712064360000).

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

10013203323200 is a wasteful number, since it uses less digits than its factorization.

10013203323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18138 (or 18123 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10013203323200 its reverse (232330231001), we get a palindrome (10245533554201).

The spelling of 10013203323200 in words is "ten trillion, thirteen billion, two hundred three million, three hundred twenty-three thousand, two hundred".