1011132000 has 144 divisors (see below), whose sum is σ = 3588635232. Its totient is φ = 269625600.

The previous prime is 1011131999. The next prime is 1011132011. The reversal of 1011132000 is 2311101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21957 + ... + 50043.

It is an arithmetic number, because the mean of its divisors is an integer number (24921078).

Almost surely, 2^1011132000 is an apocalyptic number.

1011132000 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 1011132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794317616).

1011132000 is an abundant number, since it is smaller than the sum of its proper divisors (2577503232).

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

1011132000 is a wasteful number, since it uses less digits than its factorization.

1011132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28118 (or 28097 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1011132000 is about 31798.3018414506. The cubic root of 1011132000 is about 1003.6969821466.

Adding to 1011132000 its reverse (2311101), we get a palindrome (1013443101).

The spelling of 1011132000 in words is "one billion, eleven million, one hundred thirty-two thousand".