101311320133 has 2 divisors, whose sum is σ = 101311320134. Its totient is φ = 101311320132.

The previous prime is 101311320127. The next prime is 101311320137. The reversal of 101311320133 is 331023113101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101237239684 + 74080449 = 318178^2 + 8607^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311320133 - 2⁵ = 101311320101 is a prime.

It is a super-2 number, since 2×101311320133² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101311320133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101311320137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655660066 + 50655660067.

It is an arithmetic number, because the mean of its divisors is an integer number (50655660067).

Almost surely, 2^101311320133 is an apocalyptic number.

It is an amenable number.

101311320133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311320133 is an equidigital number, since it uses as much as digits as its factorization.

101311320133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101311320133 its reverse (331023113101), we get a palindrome (432334433234).

The spelling of 101311320133 in words is "one hundred one billion, three hundred eleven million, three hundred twenty thousand, one hundred thirty-three".