1002105313 has 16 divisors (see below), whose sum is σ = 1125653760. Its totient is φ = 884195200.

The previous prime is 1002105301. The next prime is 1002105317. The reversal of 1002105313 is 3135012001.

It is a cyclic number.

It is not a de Polignac number, because 1002105313 - 2⁹ = 1002104801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002105317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83208 + ... + 94486.

It is an arithmetic number, because the mean of its divisors is an integer number (70353360).

Almost surely, 2^1002105313 is an apocalyptic number.

It is an amenable number.

1002105313 is a deficient number, since it is larger than the sum of its proper divisors (123548447).

1002105313 is a wasteful number, since it uses less digits than its factorization.

1002105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1002105313 is about 31656.0470210669. The cubic root of 1002105313 is about 1000.7012790927.

Adding to 1002105313 its reverse (3135012001), we get a palindrome (4137117314).

The spelling of 1002105313 in words is "one billion, two million, one hundred five thousand, three hundred thirteen".