13010695680 has 320 divisors, whose sum is σ = 44335019520. Its totient is φ = 3243638784.

The previous prime is 13010695679. The next prime is 13010695693. The reversal of 13010695680 is 8659601031.

13010695680 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 (320).

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 31 ways as a sum of consecutive naturals, for example, 29636901 + ... + 29637339.

It is an arithmetic number, because the mean of its divisors is an integer number (138546936).

Almost surely, 2^13010695680 is an apocalyptic number.

13010695680 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 13010695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167509760).

13010695680 is an abundant number, since it is smaller than the sum of its proper divisors (31324323840).

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

13010695680 is a wasteful number, since it uses less digits than its factorization.

13010695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 13010695680 in words is "thirteen billion, ten million, six hundred ninety-five thousand, six hundred eighty".