10013121760 has 96 divisors (see below), whose sum is σ = 24865952832. Its totient is φ = 3802951680.

The previous prime is 10013121751. The next prime is 10013121791. The reversal of 10013121760 is 6712131001.

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, 494230 + ... + 514090.

It is an arithmetic number, because the mean of its divisors is an integer number (259020342).

Almost surely, 2^10013121760 is an apocalyptic number.

10013121760 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 10013121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432976416).

10013121760 is an abundant number, since it is smaller than the sum of its proper divisors (14852831072).

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

10013121760 is a wasteful number, since it uses less digits than its factorization.

10013121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20036 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 10013121760 its reverse (6712131001), we get a palindrome (16725252761).

The spelling of 10013121760 in words is "ten billion, thirteen million, one hundred twenty-one thousand, seven hundred sixty".