13006347144 has 96 divisors (see below), whose sum is σ = 37882300320. Its totient is φ = 3710429184.

The previous prime is 13006347113. The next prime is 13006347223. The reversal of 13006347144 is 44174360031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795112 + ... + 811304.

It is an arithmetic number, because the mean of its divisors is an integer number (394607295).

Almost surely, 2^13006347144 is an apocalyptic number.

13006347144 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 13006347144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941150160).

13006347144 is an abundant number, since it is smaller than the sum of its proper divisors (24875953176).

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

13006347144 is a wasteful number, since it uses less digits than its factorization.

13006347144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16899 (or 16888 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 13006347144 in words is "thirteen billion, six million, three hundred forty-seven thousand, one hundred forty-four".