13001104416 has 48 divisors (see below), whose sum is σ = 36135427104. Its totient is φ = 4078777344.

The previous prime is 13001104409. The next prime is 13001104429. The reversal of 13001104416 is 61440110031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13001104392 and 13001104401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3981550 + ... + 3984813.

It is an arithmetic number, because the mean of its divisors is an integer number (752821398).

Almost surely, 2^13001104416 is an apocalyptic number.

13001104416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13001104416 is an abundant number, since it is smaller than the sum of its proper divisors (23134322688).

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

13001104416 is a wasteful number, since it uses less digits than its factorization.

13001104416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966393 (or 7966385 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13001104416 its reverse (61440110031), we get a palindrome (74441214447).

The spelling of 13001104416 in words is "thirteen billion, one million, one hundred four thousand, four hundred sixteen".