1313524531005 has 32 divisors (see below), whose sum is σ = 2174217379200. Its totient is φ = 676356102912.

The previous prime is 1313524530959. The next prime is 1313524531057. The reversal of 1313524531005 is 5001354253131.

It is not a de Polignac number, because 1313524531005 - 2¹¹ = 1313524528957 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10385407 + ... + 10511123.

It is an arithmetic number, because the mean of its divisors is an integer number (67944293100).

Almost surely, 2^{1313524531005} is an apocalyptic number.

1313524531005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313524531005 is a deficient number, since it is larger than the sum of its proper divisors (860692848195).

1313524531005 is a wasteful number, since it uses less digits than its factorization.

1313524531005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149773.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 1313524531005 its reverse (5001354253131), we get a palindrome (6314878784136).

The spelling of 1313524531005 in words is "one trillion, three hundred thirteen billion, five hundred twenty-four million, five hundred thirty-one thousand, five".