13123113213012 has 96 divisors (see below), whose sum is σ = 33960034752000. Its totient is φ = 3910571913600.

The previous prime is 13123113212999. The next prime is 13123113213059. The reversal of 13123113213012 is 21031231132131.

It is a super-2 number, since 2×13123113213012² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33778239 + ... + 34164537.

It is an arithmetic number, because the mean of its divisors is an integer number (353750362000).

Almost surely, 2^{13123113213012} is an apocalyptic number.

13123113213012 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 13123113213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16980017376000).

13123113213012 is an abundant number, since it is smaller than the sum of its proper divisors (20836921538988).

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

13123113213012 is a wasteful number, since it uses less digits than its factorization.

13123113213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390597 (or 390595 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13123113213012 its reverse (21031231132131), we get a palindrome (34154344345143).

The spelling of 13123113213012 in words is "thirteen trillion, one hundred twenty-three billion, one hundred thirteen million, two hundred thirteen thousand, twelve".