13210420433100 has 144 divisors (see below), whose sum is σ = 41711795690880. Its totient is φ = 3201381388800.

The previous prime is 13210420433047. The next prime is 13210420433129. The reversal of 13210420433100 is 133402401231.

It is a happy number.

It is a super-2 number, since 2×13210420433100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8535816 + ... + 9963984.

Almost surely, 2^{13210420433100} is an apocalyptic number.

13210420433100 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 13210420433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20855897845440).

13210420433100 is an abundant number, since it is smaller than the sum of its proper divisors (28501375257780).

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

13210420433100 is a wasteful number, since it uses less digits than its factorization.

13210420433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431000 (or 1430993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13210420433100 its reverse (133402401231), we get a palindrome (13343822834331).

The spelling of 13210420433100 in words is "thirteen trillion, two hundred ten billion, four hundred twenty million, four hundred thirty-three thousand, one hundred".