13106883825 has 108 divisors (see below), whose sum is σ = 27362320128. Its totient is φ = 5979960000.

The previous prime is 13106883817. The next prime is 13106883883. The reversal of 13106883825 is 52838860131.

It is not a de Polignac number, because 13106883825 - 2³ = 13106883817 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8278984 + ... + 8280566.

It is an arithmetic number, because the mean of its divisors is an integer number (253354816).

Almost surely, 2^13106883825 is an apocalyptic number.

13106883825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13106883825 is an abundant number, since it is smaller than the sum of its proper divisors (14255436303).

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

13106883825 is a wasteful number, since it uses less digits than its factorization.

13106883825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13106883825 in words is "thirteen billion, one hundred six million, eight hundred eighty-three thousand, eight hundred twenty-five".