13121123341312 has 88 divisors (see below), whose sum is σ = 29983889390400. Its totient is φ = 5621951447040.

The previous prime is 13121123341307. The next prime is 13121123341373. The reversal of 13121123341312 is 21314332112131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29100564 + ... + 29548012.

It is an arithmetic number, because the mean of its divisors is an integer number (340726015800).

Almost surely, 2^{13121123341312} 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 13121123341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991944695200).

13121123341312 is an abundant number, since it is smaller than the sum of its proper divisors (16862766049088).

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

13121123341312 is an equidigital number, since it uses as much as digits as its factorization.

13121123341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451567 (or 451549 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

Adding to 13121123341312 its reverse (21314332112131), we get a palindrome (34435455453443).

The spelling of 13121123341312 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-three million, three hundred forty-one thousand, three hundred twelve".