11133233100 has 432 divisors, whose sum is σ = 39543469056. Its totient is φ = 2596608000.

The previous prime is 11133233093. The next prime is 11133233101. The reversal of 11133233100 is 133233111.

It is a happy number.

11133233100 is a `hidden beast` number, since 1 + 1 + 1 + 332 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×11133233100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11133233101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33036132 + ... + 33036468.

It is an arithmetic number, because the mean of its divisors is an integer number (91535808).

Almost surely, 2^11133233100 is an apocalyptic number.

11133233100 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 11133233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771734528).

11133233100 is an abundant number, since it is smaller than the sum of its proper divisors (28410235956).

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

11133233100 is a wasteful number, since it uses less digits than its factorization.

11133233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11133233100 its reverse (133233111), we get a palindrome (11266466211).

The spelling of 11133233100 in words is "eleven billion, one hundred thirty-three million, two hundred thirty-three thousand, one hundred".