13123311312 has 40 divisors (see below), whose sum is σ = 34072273600. Its totient is φ = 4352451840.

The previous prime is 13123311307. The next prime is 13123311317. The reversal of 13123311312 is 21311332131.

It is a happy number.

13123311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13123311307) and next prime (13123311317).

It is a super-2 number, since 2×13123311312² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123311317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677389 + ... + 696492.

It is an arithmetic number, because the mean of its divisors is an integer number (851806840).

Almost surely, 2^13123311312 is an apocalyptic number.

13123311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13123311312 is an abundant number, since it is smaller than the sum of its proper divisors (20948962288).

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

13123311312 is a wasteful number, since it uses less digits than its factorization.

13123311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374091 (or 1374085 counting only the distinct ones).

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

Adding to 13123311312 its reverse (21311332131), we get a palindrome (34434643443).

The spelling of 13123311312 in words is "thirteen billion, one hundred twenty-three million, three hundred eleven thousand, three hundred twelve".