10211111011331 has 2 divisors, whose sum is σ = 10211111011332. Its totient is φ = 10211111011330.

The previous prime is 10211111011319. The next prime is 10211111011391. The reversal of 10211111011331 is 13311011111201.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (13311011111201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10211111011331 - 2²² = 10211106817027 is a prime.

It is a super-3 number, since 3×10211111011331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10211111011391) 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 as a sum of consecutive naturals, namely, 5105555505665 + 5105555505666.

It is an arithmetic number, because the mean of its divisors is an integer number (5105555505666).

Almost surely, 2^{10211111011331} is an apocalyptic number.

10211111011331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211111011331 is an equidigital number, since it uses as much as digits as its factorization.

10211111011331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 10211111011331 its reverse (13311011111201), we get a palindrome (23522122122532).

The spelling of 10211111011331 in words is "ten trillion, two hundred eleven billion, one hundred eleven million, eleven thousand, three hundred thirty-one".