13144312104 has 128 divisors (see below), whose sum is σ = 41375508480. Its totient is φ = 3380256000.

The previous prime is 13144312091. The next prime is 13144312133. The reversal of 13144312104 is 40121344131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 151437 + ... + 221859.

It is an arithmetic number, because the mean of its divisors is an integer number (323246160).

Almost surely, 2^13144312104 is an apocalyptic number.

13144312104 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 13144312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20687754240).

13144312104 is an abundant number, since it is smaller than the sum of its proper divisors (28231196376).

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

13144312104 is a wasteful number, since it uses less digits than its factorization.

13144312104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70551 (or 70547 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13144312104 its reverse (40121344131), we get a palindrome (53265656235).

The spelling of 13144312104 in words is "thirteen billion, one hundred forty-four million, three hundred twelve thousand, one hundred four".