20133300130000 has 100 divisors (see below), whose sum is σ = 48790357291060. Its totient is φ = 8045782272000.

The previous prime is 20133300129979. The next prime is 20133300130039. The reversal of 20133300130000 is 3100333102.

It can be written as a sum of positive squares in 10 ways, for example, as 9610049600064 + 10523250529936 = 3100008^2 + 3243956^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9748312 + ... + 11631688.

Almost surely, 2^{20133300130000} is an apocalyptic number.

20133300130000 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 20133300130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395178645530).

20133300130000 is an abundant number, since it is smaller than the sum of its proper divisors (28657057161060).

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

20133300130000 is a wasteful number, since it uses less digits than its factorization.

20133300130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884474 (or 1884453 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 20133300130000 its reverse (3100333102), we get a palindrome (20136400463102).

The spelling of 20133300130000 in words is "twenty trillion, one hundred thirty-three billion, three hundred million, one hundred thirty thousand".