13123023313312 has 96 divisors (see below), whose sum is σ = 28657076313600. Its totient is φ = 5865474988800.

The previous prime is 13123023313259. The next prime is 13123023313319. The reversal of 13123023313312 is 21331332032131.

It is a happy number.

13123023313312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13123023313319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8779239 + ... + 10164697.

It is an arithmetic number, because the mean of its divisors is an integer number (298511211600).

Almost surely, 2^{13123023313312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123023313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328538156800).

13123023313312 is an abundant number, since it is smaller than the sum of its proper divisors (15534053000288).

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

13123023313312 is a wasteful number, since it uses less digits than its factorization.

13123023313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385930 (or 1385922 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13123023313312 its reverse (21331332032131), we get a palindrome (34454355345443).

The spelling of 13123023313312 in words is "thirteen trillion, one hundred twenty-three billion, twenty-three million, three hundred thirteen thousand, three hundred twelve".