13311201100212 has 120 divisors (see below), whose sum is σ = 35616930703200. Its totient is φ = 4332715458624.

The previous prime is 13311201100193. The next prime is 13311201100277. The reversal of 13311201100212 is 21200110211331.

13311201100212 is a `hidden beast` number, since 1 + 331 + 1 + 20 + 1 + 100 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 52522614 + ... + 52775442.

It is an arithmetic number, because the mean of its divisors is an integer number (296807755860).

Almost surely, 2^{13311201100212} is an apocalyptic number.

13311201100212 is a gapful number since it is divisible by the number (12) 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 13311201100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808465351600).

13311201100212 is an abundant number, since it is smaller than the sum of its proper divisors (22305729602988).

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

13311201100212 is a wasteful number, since it uses less digits than its factorization.

13311201100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256667 (or 256656 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13311201100212 its reverse (21200110211331), we get a palindrome (34511311311543).

The spelling of 13311201100212 in words is "thirteen trillion, three hundred eleven billion, two hundred one million, one hundred thousand, two hundred twelve".