13102414122320 has 160 divisors (see below), whose sum is σ = 32753669345280. Its totient is φ = 4858746923520.

The previous prime is 13102414122269. The next prime is 13102414122401. The reversal of 13102414122320 is 2322141420131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13102414122320.

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, 765185279 + ... + 765202401.

It is an arithmetic number, because the mean of its divisors is an integer number (204710433408).

Almost surely, 2^{13102414122320} is an apocalyptic number.

13102414122320 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 13102414122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376834672640).

13102414122320 is an abundant number, since it is smaller than the sum of its proper divisors (19651255222960).

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

13102414122320 is a wasteful number, since it uses less digits than its factorization.

13102414122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27913 (or 27907 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13102414122320 its reverse (2322141420131), we get a palindrome (15424555542451).

The spelling of 13102414122320 in words is "thirteen trillion, one hundred two billion, four hundred fourteen million, one hundred twenty-two thousand, three hundred twenty".