12211312113 has 128 divisors (see below), whose sum is σ = 24482304000. Its totient is φ = 5809190400.

The previous prime is 12211312093. The next prime is 12211312133. The reversal of 12211312113 is 31121311221.

It is an interprime number because it is at equal distance from previous prime (12211312093) and next prime (12211312133).

It is not a de Polignac number, because 12211312113 - 2⁶ = 12211312049 is a prime.

It is a super-2 number, since 2×12211312113² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12211312133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3538813 + ... + 3542261.

It is an arithmetic number, because the mean of its divisors is an integer number (191268000).

Almost surely, 2^12211312113 is an apocalyptic number.

12211312113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12211312113 is an abundant number, since it is smaller than the sum of its proper divisors (12270991887).

12211312113 is a wasteful number, since it uses less digits than its factorization.

12211312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3614 counting only the distinct ones).

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

Adding to 12211312113 its reverse (31121311221), we get a palindrome (43332623334).

The spelling of 12211312113 in words is "twelve billion, two hundred eleven million, three hundred twelve thousand, one hundred thirteen".