10001100131311 has 8 divisors (see below), whose sum is σ = 10039243991040. Its totient is φ = 9962957157432.

The previous prime is 10001100131263. The next prime is 10001100131333. The reversal of 10001100131311 is 11313100110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001100131311 - 2⁹ = 10001100130799 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001100131291 and 10001100131300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100131611) 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 7 ways as a sum of consecutive naturals, for example, 30513046 + ... + 30839068.

It is an arithmetic number, because the mean of its divisors is an integer number (1254905498880).

Almost surely, 2^{10001100131311} is an apocalyptic number.

10001100131311 is a deficient number, since it is larger than the sum of its proper divisors (38143859729).

10001100131311 is a wasteful number, since it uses less digits than its factorization.

10001100131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442925.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10001100131311 its reverse (11313100110001), we get a palindrome (21314200241312).

The spelling of 10001100131311 in words is "ten trillion, one billion, one hundred million, one hundred thirty-one thousand, three hundred eleven".