10001013211313 has 4 divisors (see below), whose sum is σ = 10001144656740. Its totient is φ = 10000881765888.

The previous prime is 10001013211289. The next prime is 10001013211337. The reversal of 10001013211313 is 31311231010001.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (10001013211289) and next prime (10001013211337).

It can be written as a sum of positive squares in 2 ways, for example, as 7525321805824 + 2475691405489 = 2743232^2 + 1573433^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001013211313 - 2⁶ = 10001013211249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10001013211291 and 10001013211300.

It is not an unprimeable number, because it can be changed into a prime (10001013211363) 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 3 ways as a sum of consecutive naturals, for example, 65608520 + ... + 65760777.

It is an arithmetic number, because the mean of its divisors is an integer number (2500286164185).

Almost surely, 2^{10001013211313} is an apocalyptic number.

It is an amenable number.

10001013211313 is a deficient number, since it is larger than the sum of its proper divisors (131445427).

10001013211313 is an equidigital number, since it uses as much as digits as its factorization.

10001013211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131445426.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10001013211313 its reverse (31311231010001), we get a palindrome (41312244221314).

The spelling of 10001013211313 in words is "ten trillion, one billion, thirteen million, two hundred eleven thousand, three hundred thirteen".