13122323233152 has 256 divisors, whose sum is σ = 42613744481280. Its totient is φ = 3492312514560.

The previous prime is 13122323233127. The next prime is 13122323233153. The reversal of 13122323233152 is 25133232322131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122323233153) by changing a digit.

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, 2952277 + ... + 5912747.

It is an arithmetic number, because the mean of its divisors is an integer number (166459939380).

Almost surely, 2^{13122323233152} is an apocalyptic number.

13122323233152 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 13122323233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21306872240640).

13122323233152 is an abundant number, since it is smaller than the sum of its proper divisors (29491421248128).

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

13122323233152 is a wasteful number, since it uses less digits than its factorization.

13122323233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960609 (or 2960597 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

Adding to 13122323233152 its reverse (25133232322131), we get a palindrome (38255555555283).

The spelling of 13122323233152 in words is "thirteen trillion, one hundred twenty-two billion, three hundred twenty-three million, two hundred thirty-three thousand, one hundred fifty-two".