13083392808108 has 384 divisors, whose sum is σ = 40185915392000. Its totient is φ = 3678764620608.

The previous prime is 13083392808107. The next prime is 13083392808121. The reversal of 13083392808108 is 80180829338031.

13083392808108 is a `hidden beast` number, since 13 + 0 + 8 + 339 + 280 + 8 + 10 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13083392808103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3591376935 + ... + 3591380577.

Almost surely, 2^{13083392808108} is an apocalyptic number.

13083392808108 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 13083392808108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092957696000).

13083392808108 is an abundant number, since it is smaller than the sum of its proper divisors (27102522583892).

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

13083392808108 is a wasteful number, since it uses less digits than its factorization.

13083392808108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 13083392808108 in words is "thirteen trillion, eighty-three billion, three hundred ninety-two million, eight hundred eight thousand, one hundred eight".