1011133200 has 480 divisors, whose sum is σ = 4180303872. Its totient is φ = 202752000.

The previous prime is 1011133187. The next prime is 1011133229. The reversal of 1011133200 is 23311101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2864224 + ... + 2864576.

Almost surely, 2^1011133200 is an apocalyptic number.

1011133200 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 1011133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090151936).

1011133200 is an abundant number, since it is smaller than the sum of its proper divisors (3169170672).

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

1011133200 is a wasteful number, since it uses less digits than its factorization.

1011133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1011133200 is about 31798.3207103771. The cubic root of 1011133200 is about 1003.6973792052.

Adding to 1011133200 its reverse (23311101), we get a palindrome (1034444301).

The spelling of 1011133200 in words is "one billion, eleven million, one hundred thirty-three thousand, two hundred".