21133200000000 has 792 divisors, whose sum is σ = 76858413773472. Its totient is φ = 5120000000000.

The previous prime is 21133199999993. The next prime is 21133200000013. The reversal of 21133200000000 is 233112.

It is a happy number.

It is a super-2 number, since 2×21133200000000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13199999200 + ... + 13200000800.

Almost surely, 2^{21133200000000} is an apocalyptic number.

21133200000000 is a gapful number since it is divisible by the number (20) 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 21133200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38429206886736).

21133200000000 is an abundant number, since it is smaller than the sum of its proper divisors (55725213773472).

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

21133200000000 is an frugal number, since it uses more digits than its factorization.

21133200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21133200000000 its reverse (233112), we get a palindrome (21133200233112).

The spelling of 21133200000000 in words is "twenty-one trillion, one hundred thirty-three billion, two hundred million", and thus it is an aban number.