13112006544 has 400 divisors, whose sum is σ = 47378550912. Its totient is φ = 3408500736.

The previous prime is 13112006539. The next prime is 13112006563. The reversal of 13112006544 is 44560021131.

It is a happy number.

13112006544 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 0 + 0 + 654 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8608567 + ... + 8610089.

Almost surely, 2^13112006544 is an apocalyptic number.

13112006544 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 13112006544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23689275456).

13112006544 is an abundant number, since it is smaller than the sum of its proper divisors (34266544368).

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

13112006544 is a wasteful number, since it uses less digits than its factorization.

13112006544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13112006544 its reverse (44560021131), we get a palindrome (57672027675).

The spelling of 13112006544 in words is "thirteen billion, one hundred twelve million, six thousand, five hundred forty-four".