11133021000000 has 392 divisors, whose sum is σ = 37514922927840. Its totient is φ = 2912748800000.

The previous prime is 11133020999957. The next prime is 11133021000037. The reversal of 11133021000000 is 12033111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11133021000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 158964991 + ... + 159035009.

Almost surely, 2^{11133021000000} is an apocalyptic number.

11133021000000 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 11133021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18757461463920).

11133021000000 is an abundant number, since it is smaller than the sum of its proper divisors (26381901927840).

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

11133021000000 is an frugal number, since it uses more digits than its factorization.

11133021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70117 (or 70082 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11133021000000 its reverse (12033111), we get a palindrome (11133033033111).

The spelling of 11133021000000 in words is "eleven trillion, one hundred thirty-three billion, twenty-one million", and thus it is an aban number.