13301123100000 has 432 divisors, whose sum is σ = 45622016660304. Its totient is φ = 3392709760000.

The previous prime is 13301123099987. The next prime is 13301123100017. The reversal of 13301123100000 is 132110331.

It is a super-2 number, since 2×13301123100000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158658094 + ... + 158741906.

It is an arithmetic number, because the mean of its divisors is an integer number (105606520047).

Almost surely, 2^{13301123100000} is an apocalyptic number.

13301123100000 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 13301123100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811008330152).

13301123100000 is an abundant number, since it is smaller than the sum of its proper divisors (32320893560304).

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

13301123100000 is an frugal number, since it uses more digits than its factorization.

13301123100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83897 (or 83846 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13301123100000 its reverse (132110331), we get a palindrome (13301255210331).

The spelling of 13301123100000 in words is "thirteen trillion, three hundred one billion, one hundred twenty-three million, one hundred thousand".