13106963087424 has 1120 divisors, whose sum is σ = 44341490793600. Its totient is φ = 3803188101120.

The previous prime is 13106963087423. The next prime is 13106963087431. The reversal of 13106963087424 is 42478036960131.

13106963087424 is a `hidden beast` number, since 1 + 3 + 106 + 9 + 6 + 30 + 87 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13106963087423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17881258962 + ... + 17881259694.

It is an arithmetic number, because the mean of its divisors is an integer number (39590616780).

Almost surely, 2^{13106963087424} 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 13106963087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22170745396800).

13106963087424 is an abundant number, since it is smaller than the sum of its proper divisors (31234527706176).

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

13106963087424 is a wasteful number, since it uses less digits than its factorization.

13106963087424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13106963087424 in words is "thirteen trillion, one hundred six billion, nine hundred sixty-three million, eighty-seven thousand, four hundred twenty-four".