13380024138 has 64 divisors (see below), whose sum is σ = 30082991232. Its totient is φ = 3939943680.

The previous prime is 13380024059. The next prime is 13380024139. The reversal of 13380024138 is 83142008331.

It is a junction number, because it is equal to n+sod(n) for n = 13380024099 and 13380024108.

It is not an unprimeable number, because it can be changed into a prime (13380024139) 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, 138045 + ... + 214047.

It is an arithmetic number, because the mean of its divisors is an integer number (470046738).

Almost surely, 2^13380024138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13380024138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041495616).

13380024138 is an abundant number, since it is smaller than the sum of its proper divisors (16702967094).

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

13380024138 is a wasteful number, since it uses less digits than its factorization.

13380024138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76119.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 13380024138 in words is "thirteen billion, three hundred eighty million, twenty-four thousand, one hundred thirty-eight".