13140314012520 has 320 divisors, whose sum is σ = 46466084926800. Its totient is φ = 3326221946880.

The previous prime is 13140314012491. The next prime is 13140314012543. The reversal of 13140314012520 is 2521041304131.

13140314012520 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 3 + 1 + 401 + 252 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5535658428804 + 7604655583716 = 2352798^2 + 2757654^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3578346 + ... + 6251814.

Almost surely, 2^{13140314012520} is an apocalyptic number.

13140314012520 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 13140314012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23233042463400).

13140314012520 is an abundant number, since it is smaller than the sum of its proper divisors (33325770914280).

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

13140314012520 is a wasteful number, since it uses less digits than its factorization.

13140314012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673570 (or 2673557 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13140314012520 its reverse (2521041304131), we get a palindrome (15661355316651).

The spelling of 13140314012520 in words is "thirteen trillion, one hundred forty billion, three hundred fourteen million, twelve thousand, five hundred twenty".