1001013212313 has 16 divisors (see below), whose sum is σ = 1483350957760. Its totient is φ = 667176352128.

The previous prime is 1001013212267. The next prime is 1001013212323. The reversal of 1001013212313 is 3132123101001.

1001013212313 is a `hidden beast` number, since 10 + 0 + 101 + 321 + 231 + 3 = 666.

It is not a de Polignac number, because 1001013212313 - 2¹⁸ = 1001012950169 is a prime.

It is a super-3 number, since 3×1001013212313³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001013212323) 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 15 ways as a sum of consecutive naturals, for example, 4494520 + ... + 4711977.

It is an arithmetic number, because the mean of its divisors is an integer number (92709434860).

Almost surely, 2^{1001013212313} is an apocalyptic number.

It is an amenable number.

1001013212313 is a deficient number, since it is larger than the sum of its proper divisors (482337745447).

1001013212313 is an equidigital number, since it uses as much as digits as its factorization.

1001013212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210533 (or 9210527 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001013212313 its reverse (3132123101001), we get a palindrome (4133136313314).

The spelling of 1001013212313 in words is "one trillion, one billion, thirteen million, two hundred twelve thousand, three hundred thirteen".