13221301010100 has 144 divisors (see below), whose sum is σ = 40279213632000. Its totient is φ = 3339103374720.

The previous prime is 13221301009997. The next prime is 13221301010131. The reversal of 13221301010100 is 101010312231.

It is a happy number.

13221301010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13221301010100³ (a number of 40 digits) contains 333 as substring.

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 13221301010100.

It is a congruent number.

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, 18499201 + ... + 19200599.

Almost surely, 2^{13221301010100} is an apocalyptic number.

13221301010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221301010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139606816000).

13221301010100 is an abundant number, since it is smaller than the sum of its proper divisors (27057912621900).

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

13221301010100 is a wasteful number, since it uses less digits than its factorization.

13221301010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704742 (or 704735 counting only the distinct ones).

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

Adding to 13221301010100 its reverse (101010312231), we get a palindrome (13322311322331).

The spelling of 13221301010100 in words is "thirteen trillion, two hundred twenty-one billion, three hundred one million, ten thousand, one hundred".