13300300001120 has 288 divisors, whose sum is σ = 35912779031808. Its totient is φ = 4646264832000.

The previous prime is 13300300001099. The next prime is 13300300001137. The reversal of 13300300001120 is 2110000300331.

It is a junction number, because it is equal to n+sod(n) for n = 13300300001095 and 13300300001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82141040 + ... + 82302800.

It is an arithmetic number, because the mean of its divisors is an integer number (124697149416).

Almost surely, 2^{13300300001120} is an apocalyptic number.

13300300001120 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 13300300001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956389515904).

13300300001120 is an abundant number, since it is smaller than the sum of its proper divisors (22612479030688).

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

13300300001120 is a wasteful number, since it uses less digits than its factorization.

13300300001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161966 (or 161947 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13300300001120 its reverse (2110000300331), we get a palindrome (15410300301451).

The spelling of 13300300001120 in words is "thirteen trillion, three hundred billion, three hundred million, one thousand, one hundred twenty".