13312121010 has 96 divisors (see below), whose sum is σ = 33478885440. Its totient is φ = 3387398784.

The previous prime is 13312120973. The next prime is 13312121021. The reversal of 13312121010 is 1012121331.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9314976 + ... + 9316404.

It is an arithmetic number, because the mean of its divisors is an integer number (348738390).

Almost surely, 2^13312121010 is an apocalyptic number.

13312121010 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 13312121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16739442720).

13312121010 is an abundant number, since it is smaller than the sum of its proper divisors (20166764430).

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

13312121010 is a wasteful number, since it uses less digits than its factorization.

13312121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13312121010 its reverse (1012121331), we get a palindrome (14324242341).

The spelling of 13312121010 in words is "thirteen billion, three hundred twelve million, one hundred twenty-one thousand, ten".