13130300342040 has 128 divisors (see below), whose sum is σ = 45019618560000. Its totient is φ = 3001115109888.

The previous prime is 13130300342039. The next prime is 13130300342113. The reversal of 13130300342040 is 4024300303131.

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 13130300342040.

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, 27778801 + ... + 28247519.

It is an arithmetic number, because the mean of its divisors is an integer number (351715770000).

Almost surely, 2^{13130300342040} is an apocalyptic number.

13130300342040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130300342040 is an abundant number, since it is smaller than the sum of its proper divisors (31889318217960).

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

13130300342040 is a wasteful number, since it uses less digits than its factorization.

13130300342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502089 (or 502085 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13130300342040 its reverse (4024300303131), we get a palindrome (17154600645171).

The spelling of 13130300342040 in words is "thirteen trillion, one hundred thirty billion, three hundred million, three hundred forty-two thousand, forty".