13301301102100 has 288 divisors, whose sum is σ = 33340210089984. Its totient is φ = 4560624000000.

The previous prime is 13301301102079. The next prime is 13301301102101. The reversal of 13301301102100 is 120110310331.

It is a super-2 number, since 2×13301301102100² (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 (13301301102101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1133853235 + ... + 1133864965.

It is an arithmetic number, because the mean of its divisors is an integer number (115764618368).

Almost surely, 2^{13301301102100} is an apocalyptic number.

13301301102100 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 13301301102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670105044992).

13301301102100 is an abundant number, since it is smaller than the sum of its proper divisors (20038908987884).

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

13301301102100 is a wasteful number, since it uses less digits than its factorization.

13301301102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12639 (or 12632 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13301301102100 its reverse (120110310331), we get a palindrome (13421411412431).

The spelling of 13301301102100 in words is "thirteen trillion, three hundred one billion, three hundred one million, one hundred two thousand, one hundred".