1020113200 has 60 divisors (see below), whose sum is σ = 2457853600. Its totient is φ = 406874880.

The previous prime is 1020113197. The next prime is 1020113201. The reversal of 1020113200 is 23110201.

1020113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020113201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143326 + ... + 150274.

Almost surely, 2^1020113200 is an apocalyptic number.

1020113200 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 1020113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228926800).

1020113200 is an abundant number, since it is smaller than the sum of its proper divisors (1437740400).

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

1020113200 is a wasteful number, since it uses less digits than its factorization.

1020113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1020113200 is about 31939.2110109189. The cubic root of 1020113200 is about 1006.6599466436.

Adding to 1020113200 its reverse (23110201), we get a palindrome (1043223401).

Subtracting from 1020113200 its reverse (23110201), we obtain a cube (997002999 = 999³).

The spelling of 1020113200 in words is "one billion, twenty million, one hundred thirteen thousand, two hundred".