1001012313 has 32 divisors (see below), whose sum is σ = 1544942592. Its totient is φ = 564696000.

The previous prime is 1001012303. The next prime is 1001012317. The reversal of 1001012313 is 3132101001.

It is not a de Polignac number, because 1001012313 - 2⁴ = 1001012297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001012317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448298 + ... + 1448988.

It is an arithmetic number, because the mean of its divisors is an integer number (48279456).

Almost surely, 2^1001012313 is an apocalyptic number.

It is an amenable number.

1001012313 is a deficient number, since it is larger than the sum of its proper divisors (543930279).

1001012313 is a wasteful number, since it uses less digits than its factorization.

1001012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1001012313 is about 31638.7786268686. The cubic root of 1001012313 is about 1000.3373238665.

Adding to 1001012313 its reverse (3132101001), we get a palindrome (4133113314).

The spelling of 1001012313 in words is "one billion, one million, twelve thousand, three hundred thirteen".