10001211211331 has 8 divisors (see below), whose sum is σ = 10789319975904. Its totient is φ = 9235302693760.

The previous prime is 10001211211319. The next prime is 10001211211367. The reversal of 10001211211331 is 13311211210001.

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 10001211211331 - 2⁶ = 10001211211267 is a prime.

It is a super-2 number, since 2×10001211211331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001211211931) 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, 5550060815 + ... + 5550062616.

It is an arithmetic number, because the mean of its divisors is an integer number (1348664996988).

Almost surely, 2^{10001211211331} is an apocalyptic number.

10001211211331 is a deficient number, since it is larger than the sum of its proper divisors (788108764573).

10001211211331 is a wasteful number, since it uses less digits than its factorization.

10001211211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100123501.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10001211211331 its reverse (13311211210001), we get a palindrome (23312422421332).

The spelling of 10001211211331 in words is "ten trillion, one billion, two hundred eleven million, two hundred eleven thousand, three hundred thirty-one".