11233322133000 has 384 divisors, whose sum is σ = 38883966226560. Its totient is φ = 2697769536000.

The previous prime is 11233322132999. The next prime is 11233322133023. The reversal of 11233322133000 is 33122333211.

It is a super-2 number, since 2×11233322133000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 38696394 + ... + 38985606.

It is an arithmetic number, because the mean of its divisors is an integer number (101260328715).

Almost surely, 2^{11233322133000} is an apocalyptic number.

11233322133000 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 11233322133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19441983113280).

11233322133000 is an abundant number, since it is smaller than the sum of its proper divisors (27650644093560).

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

11233322133000 is a wasteful number, since it uses less digits than its factorization.

11233322133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289366 (or 289341 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11233322133000 its reverse (33122333211), we get a palindrome (11266444466211).

The spelling of 11233322133000 in words is "eleven trillion, two hundred thirty-three billion, three hundred twenty-two million, one hundred thirty-three thousand".