1011133032 has 288 divisors, whose sum is σ = 3390861600. Its totient is φ = 248355072.

The previous prime is 1011133031. The next prime is 1011133049. The reversal of 1011133032 is 2303311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011133031) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 17137819 + ... + 17137877.

It is an arithmetic number, because the mean of its divisors is an integer number (11773825).

Almost surely, 2^1011133032 is an apocalyptic number.

1011133032 is a gapful number since it is divisible by the number (12) 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 1011133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695430800).

1011133032 is an abundant number, since it is smaller than the sum of its proper divisors (2379728568).

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

1011133032 is a wasteful number, since it uses less digits than its factorization.

1011133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1011133032 is about 31798.3180687281. The cubic root of 1011133032 is about 1003.6973236170.

Adding to 1011133032 its reverse (2303311101), we get a palindrome (3314444133).

The spelling of 1011133032 in words is "one billion, eleven million, one hundred thirty-three thousand, thirty-two".