13133020330100 has 324 divisors, whose sum is σ = 32566681286496. Its totient is φ = 4593237264000.

The previous prime is 13133020330093. The next prime is 13133020330127. The reversal of 13133020330100 is 103302033131.

13133020330100 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1941889319 + ... + 1941896081.

Almost surely, 2^{13133020330100} is an apocalyptic number.

13133020330100 is a gapful number since it is divisible by the number (10) 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 13133020330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283340643248).

13133020330100 is an abundant number, since it is smaller than the sum of its proper divisors (19433660956396).

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

13133020330100 is a wasteful number, since it uses less digits than its factorization.

13133020330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13133020330100 its reverse (103302033131), we get a palindrome (13236322363231).

The spelling of 13133020330100 in words is "thirteen trillion, one hundred thirty-three billion, twenty million, three hundred thirty thousand, one hundred".