13106193408 has 792 divisors, whose sum is σ = 50285848704. Its totient is φ = 3211591680.

The previous prime is 13106193403. The next prime is 13106193421. The reversal of 13106193408 is 80439160131.

13106193408 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 619 + 34 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106193403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179536860 + ... + 179536932.

Almost surely, 2^13106193408 is an apocalyptic number.

13106193408 is a gapful number since it is divisible by the number (18) 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 13106193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25142924352).

13106193408 is an abundant number, since it is smaller than the sum of its proper divisors (37179655296).

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

13106193408 is a wasteful number, since it uses less digits than its factorization.

13106193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13106193408 in words is "thirteen billion, one hundred six million, one hundred ninety-three thousand, four hundred eight".