13000103120 has 40 divisors (see below), whose sum is σ = 30232603680. Its totient is φ = 5198774400.

The previous prime is 13000103119. The next prime is 13000103131. The reversal of 13000103120 is 2130100031.

13000103120 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 (40).

It is a super-2 number, since 2×13000103120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354611 + ... + 389549.

It is an arithmetic number, because the mean of its divisors is an integer number (755815092).

Almost surely, 2^13000103120 is an apocalyptic number.

13000103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000103120 is an abundant number, since it is smaller than the sum of its proper divisors (17232500560).

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

13000103120 is a wasteful number, since it uses less digits than its factorization.

13000103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39603 (or 39597 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13000103120 its reverse (2130100031), we get a palindrome (15130203151).

The spelling of 13000103120 in words is "thirteen billion, one hundred three thousand, one hundred twenty".