13322123132010 has 256 divisors, whose sum is σ = 41709116325888. Its totient is φ = 2640656620800.

The previous prime is 13322123131997. The next prime is 13322123132047. The reversal of 13322123132010 is 1023132122331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19157095 + ... + 19840325.

It is an arithmetic number, because the mean of its divisors is an integer number (162926235648).

Almost surely, 2^{13322123132010} is an apocalyptic number.

13322123132010 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 13322123132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854558162944).

13322123132010 is an abundant number, since it is smaller than the sum of its proper divisors (28386993193878).

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

13322123132010 is a wasteful number, since it uses less digits than its factorization.

13322123132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683649.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13322123132010 its reverse (1023132122331), we get a palindrome (14345255254341).

The spelling of 13322123132010 in words is "thirteen trillion, three hundred twenty-two billion, one hundred twenty-three million, one hundred thirty-two thousand, ten".