1005101313 has 16 divisors (see below), whose sum is σ = 1388324352. Its totient is φ = 646128000.

The previous prime is 1005101309. The next prime is 1005101323. The reversal of 1005101313 is 3131015001.

It is not a de Polignac number, because 1005101313 - 2² = 1005101309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005101292 and 1005101301.

It is not an unprimeable number, because it can be changed into a prime (1005101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6903 + ... + 45363.

It is an arithmetic number, because the mean of its divisors is an integer number (86770272).

Almost surely, 2^1005101313 is an apocalyptic number.

It is an amenable number.

1005101313 is a deficient number, since it is larger than the sum of its proper divisors (383223039).

1005101313 is a wasteful number, since it uses less digits than its factorization.

1005101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38776.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 1005101313 is about 31703.3328374163. The cubic root of 1005101313 is about 1001.6975543453.

Adding to 1005101313 its reverse (3131015001), we get a palindrome (4136116314).

The spelling of 1005101313 in words is "one billion, five million, one hundred one thousand, three hundred thirteen".