13022121101010 has 192 divisors, whose sum is σ = 38391381820800. Its totient is φ = 2810816805888.

The previous prime is 13022121100999. The next prime is 13022121101083. The reversal of 13022121101010 is 1010112122031.

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 95 ways as a sum of consecutive naturals, for example, 7997296 + ... + 9486884.

It is an arithmetic number, because the mean of its divisors is an integer number (199955113650).

Almost surely, 2^{13022121101010} is an apocalyptic number.

13022121101010 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 13022121101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195690910400).

13022121101010 is an abundant number, since it is smaller than the sum of its proper divisors (25369260719790).

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

13022121101010 is a wasteful number, since it uses less digits than its factorization.

13022121101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489945 (or 1489938 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 13022121101010 its reverse (1010112122031), we get a palindrome (14032233223041).

The spelling of 13022121101010 in words is "thirteen trillion, twenty-two billion, one hundred twenty-one million, one hundred one thousand, ten".