10005113531024 has 20 divisors (see below), whose sum is σ = 19386091351740. Its totient is φ = 5002251246720.

The previous prime is 10005113530987. The next prime is 10005113531041. The reversal of 10005113531024 is 42013531150001.

It can be written as a sum of positive squares in 2 ways, for example, as 4189144627600 + 5815968903424 = 2046740^2 + 2411632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10005113530984 and 10005113531002.

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 3 ways as a sum of consecutive naturals, for example, 18824639 + ... + 19348830.

It is an arithmetic number, because the mean of its divisors is an integer number (969304567587).

Almost surely, 2^{10005113531024} is an apocalyptic number.

It is an amenable number.

10005113531024 is a deficient number, since it is larger than the sum of its proper divisors (9380977820716).

10005113531024 is a wasteful number, since it uses less digits than its factorization.

10005113531024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38189858 (or 38189852 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 10005113531024 its reverse (42013531150001), we get a palindrome (52018644681025).

The spelling of 10005113531024 in words is "ten trillion, five billion, one hundred thirteen million, five hundred thirty-one thousand, twenty-four".