101311323000553 has 2 divisors, whose sum is σ = 101311323000554. Its totient is φ = 101311323000552.

The previous prime is 101311323000499. The next prime is 101311323000593. The reversal of 101311323000553 is 355000323113101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95757438938329 + 5553884062224 = 9785573^2 + 2356668^2 .

It is a cyclic number.

It is not a de Polignac number, because 101311323000553 - 2¹⁷ = 101311322869481 is a prime.

It is not a weakly prime, because it can be changed into another prime (101311323000593) 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, 50655661500276 + 50655661500277.

It is an arithmetic number, because the mean of its divisors is an integer number (50655661500277).

Almost surely, 2^{101311323000553} is an apocalyptic number.

It is an amenable number.

101311323000553 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311323000553 is an equidigital number, since it uses as much as digits as its factorization.

101311323000553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 28.

Adding to 101311323000553 its reverse (355000323113101), we get a palindrome (456311646113654).

The spelling of 101311323000553 in words is "one hundred one trillion, three hundred eleven billion, three hundred twenty-three million, five hundred fifty-three", and thus it is an aban number.