13000121103120 has 80 divisors (see below), whose sum is σ = 40342051812480. Its totient is φ = 3463113894912.

The previous prime is 13000121103119. The next prime is 13000121103127. The reversal of 13000121103120 is 2130112100031.

It is a happy number.

13000121103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13000121103120.

It is not an unprimeable number, because it can be changed into a prime (13000121103127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27775765 + ... + 28239924.

It is an arithmetic number, because the mean of its divisors is an integer number (504275647656).

Almost surely, 2^{13000121103120} is an apocalyptic number.

13000121103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000121103120 is an abundant number, since it is smaller than the sum of its proper divisors (27341930709360).

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

13000121103120 is a wasteful number, since it uses less digits than its factorization.

13000121103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56016672 (or 56016666 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13000121103120 its reverse (2130112100031), we get a palindrome (15130233203151).

The spelling of 13000121103120 in words is "thirteen trillion, one hundred twenty-one million, one hundred three thousand, one hundred twenty".