13145122056 has 128 divisors (see below), whose sum is σ = 36959016960. Its totient is φ = 3861792000.

The previous prime is 13145122043. The next prime is 13145122069. The reversal of 13145122056 is 65022154131.

It is an interprime number because it is at equal distance from previous prime (13145122043) and next prime (13145122069).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322706 + ... + 1332606.

It is an arithmetic number, because the mean of its divisors is an integer number (288742320).

Almost surely, 2^13145122056 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 13145122056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18479508480).

13145122056 is an abundant number, since it is smaller than the sum of its proper divisors (23813894904).

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

13145122056 is a wasteful number, since it uses less digits than its factorization.

13145122056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13145122056 its reverse (65022154131), we get a palindrome (78167276187).

The spelling of 13145122056 in words is "thirteen billion, one hundred forty-five million, one hundred twenty-two thousand, fifty-six".