20133002001300 has 576 divisors, whose sum is σ = 62770862407680. Its totient is φ = 4969755648000.

The previous prime is 20133002001289. The next prime is 20133002001319. The reversal of 20133002001300 is 310020033102.

20133002001300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20133002001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23996426281 + ... + 23996427119.

It is an arithmetic number, because the mean of its divisors is an integer number (108977191680).

Almost surely, 2^{20133002001300} is an apocalyptic number.

20133002001300 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 20133002001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31385431203840).

20133002001300 is an abundant number, since it is smaller than the sum of its proper divisors (42637860406380).

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

20133002001300 is a wasteful number, since it uses less digits than its factorization.

20133002001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20133002001300 its reverse (310020033102), we get a palindrome (20443022034402).

The spelling of 20133002001300 in words is "twenty trillion, one hundred thirty-three billion, two million, one thousand, three hundred".