101311101373 has 2 divisors, whose sum is σ = 101311101374. Its totient is φ = 101311101372.

The previous prime is 101311101371. The next prime is 101311101377. The reversal of 101311101373 is 373101113101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101275424644 + 35676729 = 318238^2 + 5973^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311101373 - 2¹ = 101311101371 is a prime.

It is a super-2 number, since 2×101311101373² (a number of 23 digits) contains 22 as substring.

Together with 101311101371, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101311101371) 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, 50655550686 + 50655550687.

It is an arithmetic number, because the mean of its divisors is an integer number (50655550687).

Almost surely, 2^101311101373 is an apocalyptic number.

It is an amenable number.

101311101373 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311101373 is an equidigital number, since it uses as much as digits as its factorization.

101311101373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

Adding to 101311101373 its reverse (373101113101), we get a palindrome (474412214474).

The spelling of 101311101373 in words is "one hundred one billion, three hundred eleven million, one hundred one thousand, three hundred seventy-three".