13083072288 has 192 divisors, whose sum is σ = 42471475200. Its totient is φ = 3466920960.

The previous prime is 13083072283. The next prime is 13083072329. The reversal of 13083072288 is 88227038031.

It is not an unprimeable number, because it can be changed into a prime (13083072283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235753 + ... + 285911.

It is an arithmetic number, because the mean of its divisors is an integer number (221205600).

Almost surely, 2^13083072288 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 13083072288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21235737600).

13083072288 is an abundant number, since it is smaller than the sum of its proper divisors (29388402912).

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

13083072288 is a wasteful number, since it uses less digits than its factorization.

13083072288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50215 (or 50207 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 13083072288 in words is "thirteen billion, eighty-three million, seventy-two thousand, two hundred eighty-eight".