11322133020 has 576 divisors, whose sum is σ = 41167526400. Its totient is φ = 2586608640.

The previous prime is 11322132979. The next prime is 11322133021. The reversal of 11322133020 is 2033122311.

11322133020 is a `hidden beast` number, since 11 + 322 + 1 + 330 + 2 + 0 = 666.

It is a super-2 number, since 2×11322133020² (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 a junction number, because it is equal to n+sod(n) for n = 11322132984 and 11322133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322133021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103872726 + ... + 103872834.

It is an arithmetic number, because the mean of its divisors is an integer number (71471400).

Almost surely, 2^11322133020 is an apocalyptic number.

11322133020 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 11322133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583763200).

11322133020 is an abundant number, since it is smaller than the sum of its proper divisors (29845393380).

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

11322133020 is a wasteful number, since it uses less digits than its factorization.

11322133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11322133020 its reverse (2033122311), we get a palindrome (13355255331).

The spelling of 11322133020 in words is "eleven billion, three hundred twenty-two million, one hundred thirty-three thousand, twenty".