20133120000000 has 1440 divisors, whose sum is σ = 78794193598848. Its totient is φ = 4558848000000.

The previous prime is 20133119999983. The next prime is 20133120000011. The reversal of 20133120000000 is 2133102.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188159999947 + ... + 188160000053.

Almost surely, 2^{20133120000000} is an apocalyptic number.

20133120000000 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 20133120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39397096799424).

20133120000000 is an abundant number, since it is smaller than the sum of its proper divisors (58661073598848).

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

20133120000000 is an frugal number, since it uses more digits than its factorization.

20133120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 124 counting only the distinct ones).

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

Adding to 20133120000000 its reverse (2133102), we get a palindrome (20133122133102).

The spelling of 20133120000000 in words is "twenty trillion, one hundred thirty-three billion, one hundred twenty million", and thus it is an aban number.