13021332110010 has 128 divisors (see below), whose sum is σ = 39717498839040. Its totient is φ = 2973796552512.

The previous prime is 13021332109963. The next prime is 13021332110063. The reversal of 13021332110010 is 1001123312031.

13021332110010 is a `hidden beast` number, since 1 + 30 + 213 + 321 + 100 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658674 + ... + 5145533.

It is an arithmetic number, because the mean of its divisors is an integer number (310292959680).

Almost surely, 2^{13021332110010} is an apocalyptic number.

13021332110010 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 13021332110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19858749419520).

13021332110010 is an abundant number, since it is smaller than the sum of its proper divisors (26696166729030).

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

13021332110010 is a wasteful number, since it uses less digits than its factorization.

13021332110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805417 (or 5805411 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13021332110010 its reverse (1001123312031), we get a palindrome (14022455422041).

It can be divided in two parts, 1302133 and 2110010, that added together give a palindrome (3412143).

The spelling of 13021332110010 in words is "thirteen trillion, twenty-one billion, three hundred thirty-two million, one hundred ten thousand, ten".