13634121330 has 96 divisors (see below), whose sum is σ = 36036748800. Its totient is φ = 3575940480.

The previous prime is 13634121299. The next prime is 13634121331. The reversal of 13634121330 is 3312143631.

13634121330 is a `hidden beast` number, since 1 + 3 + 634 + 1 + 21 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13634121294 and 13634121303.

It is not an unprimeable number, because it can be changed into a prime (13634121331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376295 + ... + 1386165.

It is an arithmetic number, because the mean of its divisors is an integer number (375382800).

Almost surely, 2^13634121330 is an apocalyptic number.

13634121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13634121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018374400).

13634121330 is an abundant number, since it is smaller than the sum of its proper divisors (22402627470).

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

13634121330 is a wasteful number, since it uses less digits than its factorization.

13634121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10136 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13634121330 its reverse (3312143631), we get a palindrome (16946264961).

The spelling of 13634121330 in words is "thirteen billion, six hundred thirty-four million, one hundred twenty-one thousand, three hundred thirty".