13201120410 has 128 divisors (see below), whose sum is σ = 32912179200. Its totient is φ = 3387121920.

The previous prime is 13201120223. The next prime is 13201120423. The reversal of 13201120410 is 1402110231.

13201120410 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13201120410.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18360031 + ... + 18360749.

It is an arithmetic number, because the mean of its divisors is an integer number (257126400).

Almost surely, 2^13201120410 is an apocalyptic number.

13201120410 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 13201120410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456089600).

13201120410 is an abundant number, since it is smaller than the sum of its proper divisors (19711058790).

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

13201120410 is a wasteful number, since it uses less digits than its factorization.

13201120410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13201120410 its reverse (1402110231), we get a palindrome (14603230641).

The spelling of 13201120410 in words is "thirteen billion, two hundred one million, one hundred twenty thousand, four hundred ten".