13010312120 has 64 divisors (see below), whose sum is σ = 31555984320. Its totient is φ = 4799084544.

The previous prime is 13010312101. The next prime is 13010312123. The reversal of 13010312120 is 2121301031.

It is a junction number, because it is equal to n+sod(n) for n = 13010312095 and 13010312104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540992 + ... + 564528.

It is an arithmetic number, because the mean of its divisors is an integer number (493062255).

Almost surely, 2^13010312120 is an apocalyptic number.

13010312120 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 13010312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777992160).

13010312120 is an abundant number, since it is smaller than the sum of its proper divisors (18545672200).

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

13010312120 is a wasteful number, since it uses less digits than its factorization.

13010312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24624 (or 24620 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13010312120 its reverse (2121301031), we get a palindrome (15131613151).

The spelling of 13010312120 in words is "thirteen billion, ten million, three hundred twelve thousand, one hundred twenty".