20133120000 has 720 divisors, whose sum is σ = 78752353680. Its totient is φ = 4558848000.

The previous prime is 20133119983. The next prime is 20133120031. The reversal of 20133120000 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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 188159947 + ... + 188160053.

It is an arithmetic number, because the mean of its divisors is an integer number (109378269).

Almost surely, 2^20133120000 is an apocalyptic number.

20133120000 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 20133120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39376176840).

20133120000 is an abundant number, since it is smaller than the sum of its proper divisors (58619233680).

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

20133120000 is an equidigital number, since it uses as much as digits as its factorization.

20133120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

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

Adding to 20133120000 its reverse (2133102), we get a palindrome (20135253102).

The spelling of 20133120000 in words is "twenty billion, one hundred thirty-three million, one hundred twenty thousand".