13039102944 has 576 divisors, whose sum is σ = 46964736000. Its totient is φ = 3348034560.

The previous prime is 13039102933. The next prime is 13039102991. The reversal of 13039102944 is 44920193031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13039102899 and 13039102908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93806427 + ... + 93806565.

It is an arithmetic number, because the mean of its divisors is an integer number (81536000).

Almost surely, 2^13039102944 is an apocalyptic number.

13039102944 is a gapful number since it is divisible by the number (14) 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 13039102944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482368000).

13039102944 is an abundant number, since it is smaller than the sum of its proper divisors (33925633056).

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

13039102944 is a wasteful number, since it uses less digits than its factorization.

13039102944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 13039102944 its reverse (44920193031), we get a palindrome (57959295975).

The spelling of 13039102944 in words is "thirteen billion, thirty-nine million, one hundred two thousand, nine hundred forty-four".