101322133113011 has 2 divisors, whose sum is σ = 101322133113012. Its totient is φ = 101322133113010.

The previous prime is 101322133112999. The next prime is 101322133113013. The reversal of 101322133113011 is 110311331223101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101322133113011 - 2⁶ = 101322133112947 is a prime.

It is a super-2 number, since 2×101322133113011² (a number of 29 digits) contains 22 as substring.

Together with 101322133113013, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101322133113013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661066556505 + 50661066556506.

It is an arithmetic number, because the mean of its divisors is an integer number (50661066556506).

Almost surely, 2^{101322133113011} is an apocalyptic number.

101322133113011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101322133113011 is an equidigital number, since it uses as much as digits as its factorization.

101322133113011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 101322133113011 its reverse (110311331223101), we get a palindrome (211633464336112).

The spelling of 101322133113011 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred thirteen thousand, eleven".