101332113122311 has 2 divisors, whose sum is σ = 101332113122312. Its totient is φ = 101332113122310.

The previous prime is 101332113122299. The next prime is 101332113122329. The reversal of 101332113122311 is 113221311233101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101332113122311 - 2²⁵ = 101332079567879 is a prime.

It is a super-2 number, since 2×101332113122311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101332113122111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666056561155 + 50666056561156.

It is an arithmetic number, because the mean of its divisors is an integer number (50666056561156).

Almost surely, 2^{101332113122311} is an apocalyptic number.

101332113122311 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332113122311 is an equidigital number, since it uses as much as digits as its factorization.

101332113122311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 101332113122311 its reverse (113221311233101), we get a palindrome (214553424355412).

The spelling of 101332113122311 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred eleven".