13138329600 has 714 divisors, whose sum is σ = 53292944316. Its totient is φ = 3185049600.

The previous prime is 13138329559. The next prime is 13138329649. The reversal of 13138329600 is 692383131.

13138329600 is a `hidden beast` number, since 1 + 3 + 13 + 8 + 32 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1194393595 + ... + 1194393605.

Almost surely, 2^13138329600 is an apocalyptic number.

13138329600 is a gapful number since it is divisible by the number (10) 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 13138329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26646472158).

13138329600 is an abundant number, since it is smaller than the sum of its proper divisors (40154614716).

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

13138329600 is an frugal number, since it uses more digits than its factorization.

13138329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13138329600 in words is "thirteen billion, one hundred thirty-eight million, three hundred twenty-nine thousand, six hundred".