13202230311100 has 216 divisors, whose sum is σ = 30770114711616. Its totient is φ = 4914786240000.

The previous prime is 13202230311097. The next prime is 13202230311103. The reversal of 13202230311100 is 111303220231.

13202230311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13202230311097) and next prime (13202230311103).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202230311103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2006109810 + ... + 2006116390.

It is an arithmetic number, because the mean of its divisors is an integer number (142454234776).

Almost surely, 2^{13202230311100} is an apocalyptic number.

13202230311100 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 13202230311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385057355808).

13202230311100 is an abundant number, since it is smaller than the sum of its proper divisors (17567884400516).

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

13202230311100 is a wasteful number, since it uses less digits than its factorization.

13202230311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7605 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13202230311100 its reverse (111303220231), we get a palindrome (13313533531331).

The spelling of 13202230311100 in words is "thirteen trillion, two hundred two billion, two hundred thirty million, three hundred eleven thousand, one hundred".