13002213011100 has 144 divisors (see below), whose sum is σ = 38123743257600. Its totient is φ = 3421070795520.

The previous prime is 13002213011083. The next prime is 13002213011107. The reversal of 13002213011100 is 111031220031.

It is a happy number.

13002213011100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13002213011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002213011107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6983457 + ... + 8647143.

Almost surely, 2^{13002213011100} is an apocalyptic number.

13002213011100 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 13002213011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061871628800).

13002213011100 is an abundant number, since it is smaller than the sum of its proper divisors (25121530246500).

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

13002213011100 is a wasteful number, since it uses less digits than its factorization.

13002213011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664052 (or 1664045 counting only the distinct ones).

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

Adding to 13002213011100 its reverse (111031220031), we get a palindrome (13113244231131).

The spelling of 13002213011100 in words is "thirteen trillion, two billion, two hundred thirteen million, eleven thousand, one hundred".