10013133200 has 60 divisors (see below), whose sum is σ = 27493210560. Its totient is φ = 3433073280.

The previous prime is 10013133187. The next prime is 10013133217. The reversal of 10013133200 is 233131001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1785260 + ... + 1790859.

It is an arithmetic number, because the mean of its divisors is an integer number (458220176).

Almost surely, 2^10013133200 is an apocalyptic number.

10013133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013133200 is an abundant number, since it is smaller than the sum of its proper divisors (17480077360).

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

10013133200 is a wasteful number, since it uses less digits than its factorization.

10013133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576144 (or 3576133 counting only the distinct ones).

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

Adding to 10013133200 its reverse (233131001), we get a palindrome (10246264201).

It can be divided in two parts, 100131 and 33200, that added together give a palindrome (133331).

The spelling of 10013133200 in words is "ten billion, thirteen million, one hundred thirty-three thousand, two hundred".