13124253532005 has 96 divisors (see below), whose sum is σ = 29854761431040. Its totient is φ = 5167170195840.

The previous prime is 13124253531989. The next prime is 13124253532031. The reversal of 13124253532005 is 50023535242131.

13124253532005 is a `hidden beast` number, since 1 + 31 + 2 + 42 + 53 + 532 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 13124253532005 - 2⁴ = 13124253531989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99609517 + ... + 99741186.

It is an arithmetic number, because the mean of its divisors is an integer number (310987098240).

Almost surely, 2^{13124253532005} is an apocalyptic number.

13124253532005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13124253532005 is an abundant number, since it is smaller than the sum of its proper divisors (16730507899035).

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

13124253532005 is a wasteful number, since it uses less digits than its factorization.

13124253532005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199350751 (or 199350748 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 13124253532005 its reverse (50023535242131), we get a palindrome (63147788774136).

The spelling of 13124253532005 in words is "thirteen trillion, one hundred twenty-four billion, two hundred fifty-three million, five hundred thirty-two thousand, five".