12213201101310 has 160 divisors (see below), whose sum is σ = 35875235404800. Its totient is φ = 2956656565440.

The previous prime is 12213201101303. The next prime is 12213201101341. The reversal of 12213201101310 is 1310110231221.

12213201101310 is a `hidden beast` number, since 1 + 2 + 21 + 320 + 1 + 10 + 1 + 310 = 666.

It is a super-2 number, since 2×12213201101310² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5453071 + ... + 7359509.

It is an arithmetic number, because the mean of its divisors is an integer number (224220221280).

Almost surely, 2^{12213201101310} is an apocalyptic number.

12213201101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213201101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17937617702400).

12213201101310 is an abundant number, since it is smaller than the sum of its proper divisors (23662034303490).

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

12213201101310 is a wasteful number, since it uses less digits than its factorization.

12213201101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907188 (or 1907179 counting only the distinct ones).

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

Adding to 12213201101310 its reverse (1310110231221), we get a palindrome (13523311332531).

The spelling of 12213201101310 in words is "twelve trillion, two hundred thirteen billion, two hundred one million, one hundred one thousand, three hundred ten".