101323132022131 has 2 divisors, whose sum is σ = 101323132022132. Its totient is φ = 101323132022130.

The previous prime is 101323132022129. The next prime is 101323132022141. The reversal of 101323132022131 is 131220231323101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101323132022131 - 2¹ = 101323132022129 is a prime.

It is a super-2 number, since 2×101323132022131² (a number of 29 digits) contains 22 as substring.

Together with 101323132022129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101323132022096 and 101323132022105.

It is not a weakly prime, because it can be changed into another prime (101323132022141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50661566011065 + 50661566011066.

It is an arithmetic number, because the mean of its divisors is an integer number (50661566011066).

Almost surely, 2^{101323132022131} is an apocalyptic number.

101323132022131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101323132022131 is an equidigital number, since it uses as much as digits as its factorization.

101323132022131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 101323132022131 its reverse (131220231323101), we get a palindrome (232543363345232).

The spelling of 101323132022131 in words is "one hundred one trillion, three hundred twenty-three billion, one hundred thirty-two million, twenty-two thousand, one hundred thirty-one".