13001102112120 has 64 divisors (see below), whose sum is σ = 39005274349440. Its totient is φ = 3466785628800.

The previous prime is 13001102112071. The next prime is 13001102112137. The reversal of 13001102112120 is 2121120110031.

13001102112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13001102112120² (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 self number, because there is not a number n which added to its sum of digits gives 13001102112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336486 + ... + 5110325.

It is an arithmetic number, because the mean of its divisors is an integer number (609457411710).

Almost surely, 2^{13001102112120} is an apocalyptic number.

13001102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001102112120 is an abundant number, since it is smaller than the sum of its proper divisors (26004172237320).

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

13001102112120 is a wasteful number, since it uses less digits than its factorization.

13001102112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466716 (or 5466712 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 13001102112120 its reverse (2121120110031), we get a palindrome (15122222222151).

The spelling of 13001102112120 in words is "thirteen trillion, one billion, one hundred two million, one hundred twelve thousand, one hundred twenty".