13103659008 has 480 divisors, whose sum is σ = 43952388480. Its totient is φ = 3855237120.

The previous prime is 13103659001. The next prime is 13103659013. The reversal of 13103659008 is 80095630131.

It is a happy number.

13103659008 is a `hidden beast` number, since 1 + 31 + 0 + 36 + 590 + 0 + 8 = 666.

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 (13103659001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78464941 + ... + 78465107.

It is an arithmetic number, because the mean of its divisors is an integer number (91567476).

Almost surely, 2^13103659008 is an apocalyptic number.

13103659008 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 13103659008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976194240).

13103659008 is an abundant number, since it is smaller than the sum of its proper divisors (30848729472).

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

13103659008 is a wasteful number, since it uses less digits than its factorization.

13103659008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13103659008 in words is "thirteen billion, one hundred three million, six hundred fifty-nine thousand, eight".