10013132624775 has 96 divisors (see below), whose sum is σ = 19462820252160. Its totient is φ = 4446517317120.

The previous prime is 10013132624749. The next prime is 10013132624897. The reversal of 10013132624775 is 57742623131001.

It is not a de Polignac number, because 10013132624775 - 2¹² = 10013132620679 is a prime.

It is a super-2 number, since 2×10013132624775² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 11607697 + ... + 12440453.

It is an arithmetic number, because the mean of its divisors is an integer number (202737710960).

Almost surely, 2^{10013132624775} is an apocalyptic number.

10013132624775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10013132624775 is a deficient number, since it is larger than the sum of its proper divisors (9449687627385).

10013132624775 is a wasteful number, since it uses less digits than its factorization.

10013132624775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833433 (or 833428 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

Adding to 10013132624775 its reverse (57742623131001), we get a palindrome (67755755755776).

The spelling of 10013132624775 in words is "ten trillion, thirteen billion, one hundred thirty-two million, six hundred twenty-four thousand, seven hundred seventy-five".