13123110000000 has 4096 divisors, whose sum is σ = 64259835494400. Its totient is φ = 2280960000000.

The previous prime is 13123109999957. The next prime is 13123110000031. The reversal of 13123110000000 is 1132131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 570569999989 + ... + 570570000011.

It is an arithmetic number, because the mean of its divisors is an integer number (15688436400).

Almost surely, 2^{13123110000000} is an apocalyptic number.

13123110000000 is a gapful number since it is divisible by the number (10) 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 13123110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32129917747200).

13123110000000 is an abundant number, since it is smaller than the sum of its proper divisors (51136725494400).

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

13123110000000 is an equidigital number, since it uses as much as digits as its factorization.

13123110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13123110000000 its reverse (1132131), we get a palindrome (13123111132131).

The spelling of 13123110000000 in words is "thirteen trillion, one hundred twenty-three billion, one hundred ten million", and thus it is an aban number.