13333201330100 has 72 divisors (see below), whose sum is σ = 29303794359000. Its totient is φ = 5265127014400.

The previous prime is 13333201330087. The next prime is 13333201330129. The reversal of 13333201330100 is 103310233331.

It can be written as a sum of positive squares in 12 ways, for example, as 5469742207504 + 7863459122596 = 2338748^2 + 2804186^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4536326 + ... + 6873474.

It is an arithmetic number, because the mean of its divisors is an integer number (406997143875).

Almost surely, 2^{13333201330100} is an apocalyptic number.

13333201330100 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 13333201330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651897179500).

13333201330100 is an abundant number, since it is smaller than the sum of its proper divisors (15970593028900).

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

13333201330100 is a wasteful number, since it uses less digits than its factorization.

13333201330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337893 (or 2337886 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13333201330100 its reverse (103310233331), we get a palindrome (13436511563431).

The spelling of 13333201330100 in words is "thirteen trillion, three hundred thirty-three billion, two hundred one million, three hundred thirty thousand, one hundred".