11032133100 has 72 divisors (see below), whose sum is σ = 32014648848. Its totient is φ = 2933145600.

The previous prime is 11032133089. The next prime is 11032133111. The reversal of 11032133100 is 133123011.

It is an interprime number because it is at equal distance from previous prime (11032133089) and next prime (11032133111).

It is a super-2 number, since 2×11032133100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11032133100.

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, 46540 + ... + 155660.

Almost surely, 2^11032133100 is an apocalyptic number.

11032133100 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 11032133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007324424).

11032133100 is an abundant number, since it is smaller than the sum of its proper divisors (20982515748).

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

11032133100 is a wasteful number, since it uses less digits than its factorization.

11032133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109475 (or 109468 counting only the distinct ones).

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

Adding to 11032133100 its reverse (133123011), we get a palindrome (11165256111).

The spelling of 11032133100 in words is "eleven billion, thirty-two million, one hundred thirty-three thousand, one hundred".