10013989312512 has 192 divisors, whose sum is σ = 30353699376000. Its totient is φ = 3260367839232.

The previous prime is 10013989312427. The next prime is 10013989312541. The reversal of 10013989312512 is 21521398931001.

10013989312512 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 39 + 8 + 93 + 12 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10013989312512² (a number of 27 digits) contains 22 as substring.

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, 271939 + ... + 4483517.

It is an arithmetic number, because the mean of its divisors is an integer number (158092184250).

Almost surely, 2^{10013989312512} is an apocalyptic number.

10013989312512 is a gapful number since it is divisible by the number (12) 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 10013989312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176849688000).

10013989312512 is an abundant number, since it is smaller than the sum of its proper divisors (20339710063488).

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

10013989312512 is an equidigital number, since it uses as much as digits as its factorization.

10013989312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211653 (or 4211627 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10013989312512 in words is "ten trillion, thirteen billion, nine hundred eighty-nine million, three hundred twelve thousand, five hundred twelve".