11133022002000 has 640 divisors, whose sum is σ = 38101497348096. Its totient is φ = 2792102400000.

The previous prime is 11133022001989. The next prime is 11133022002023. The reversal of 11133022002000 is 20022033111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2066643307 + ... + 2066648693.

Almost surely, 2^{11133022002000} is an apocalyptic number.

11133022002000 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 11133022002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050748674048).

11133022002000 is an abundant number, since it is smaller than the sum of its proper divisors (26968475346096).

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

11133022002000 is a wasteful number, since it uses less digits than its factorization.

11133022002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5756 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11133022002000 its reverse (20022033111), we get a palindrome (11153044035111).

The spelling of 11133022002000 in words is "eleven trillion, one hundred thirty-three billion, twenty-two million, two thousand".