13020142560 has 96 divisors (see below), whose sum is σ = 41685894432. Its totient is φ = 3415111680.

The previous prime is 13020142501. The next prime is 13020142561. The reversal of 13020142560 is 6524102031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13020142560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13020142560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020142561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193059 + ... + 251618.

It is an arithmetic number, because the mean of its divisors is an integer number (434228067).

Almost surely, 2^13020142560 is an apocalyptic number.

13020142560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020142560 is an abundant number, since it is smaller than the sum of its proper divisors (28665751872).

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

13020142560 is a wasteful number, since it uses less digits than its factorization.

13020142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444756 (or 444748 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13020142560 its reverse (6524102031), we get a palindrome (19544244591).

The spelling of 13020142560 in words is "thirteen billion, twenty million, one hundred forty-two thousand, five hundred sixty".