13330122311100 has 72 divisors (see below), whose sum is σ = 44078271115648. Its totient is φ = 3046885099200.

The previous prime is 13330122311087. The next prime is 13330122311101. The reversal of 13330122311100 is 111322103331.

It is a happy number.

13330122311100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330122311101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3173836546 + ... + 3173840745.

Almost surely, 2^{13330122311100} is an apocalyptic number.

13330122311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330122311100 is an abundant number, since it is smaller than the sum of its proper divisors (30748148804548).

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

13330122311100 is a wasteful number, since it uses less digits than its factorization.

13330122311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347677315 (or 6347677308 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13330122311100 its reverse (111322103331), we get a palindrome (13441444414431).

The spelling of 13330122311100 in words is "thirteen trillion, three hundred thirty billion, one hundred twenty-two million, three hundred eleven thousand, one hundred".