1013133200 has 120 divisors (see below), whose sum is σ = 2587780800. Its totient is φ = 380090880.

The previous prime is 1013133179. The next prime is 1013133203. The reversal of 1013133200 is 23313101.

1013133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1013133203) 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, 827789 + ... + 829011.

It is an arithmetic number, because the mean of its divisors is an integer number (21564840).

Almost surely, 2^1013133200 is an apocalyptic number.

1013133200 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 1013133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293890400).

1013133200 is an abundant number, since it is smaller than the sum of its proper divisors (1574647600).

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

1013133200 is a wasteful number, since it uses less digits than its factorization.

1013133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1358 counting only the distinct ones).

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

The square root of 1013133200 is about 31829.7533763616. The cubic root of 1013133200 is about 1004.3587074004.

Adding to 1013133200 its reverse (23313101), we get a palindrome (1036446301).

The spelling of 1013133200 in words is "one billion, thirteen million, one hundred thirty-three thousand, two hundred".