13011209752128 has 224 divisors, whose sum is σ = 39519317342208. Its totient is φ = 3700878336000.

The previous prime is 13011209752069. The next prime is 13011209752153. The reversal of 13011209752128 is 82125790211031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13011209752128.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1733206551 + ... + 1733214057.

Almost surely, 2^{13011209752128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011209752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759658671104).

13011209752128 is an abundant number, since it is smaller than the sum of its proper divisors (26508107590080).

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

13011209752128 is a wasteful number, since it uses less digits than its factorization.

13011209752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13121 (or 13111 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

Adding to 13011209752128 its reverse (82125790211031), we get a palindrome (95136999963159).

The spelling of 13011209752128 in words is "thirteen trillion, eleven billion, two hundred nine million, seven hundred fifty-two thousand, one hundred twenty-eight".