13320002103100 has 144 divisors (see below), whose sum is σ = 36041970666240. Its totient is φ = 4151077171200.

The previous prime is 13320002103097. The next prime is 13320002103103. The reversal of 13320002103100 is 130120002331.

It is an interprime number because it is at equal distance from previous prime (13320002103097) and next prime (13320002103103).

It is a super-2 number, since 2×13320002103100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320002103103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53598931 + ... + 53846869.

It is an arithmetic number, because the mean of its divisors is an integer number (250291462960).

Almost surely, 2^{13320002103100} is an apocalyptic number.

13320002103100 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 13320002103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020985333120).

13320002103100 is an abundant number, since it is smaller than the sum of its proper divisors (22721968563140).

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

13320002103100 is a wasteful number, since it uses less digits than its factorization.

13320002103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254948 (or 254941 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13320002103100 its reverse (130120002331), we get a palindrome (13450122105431).

The spelling of 13320002103100 in words is "thirteen trillion, three hundred twenty billion, two million, one hundred three thousand, one hundred".