101311022993 has 2 divisors, whose sum is σ = 101311022994. Its totient is φ = 101311022992.

The previous prime is 101311022951. The next prime is 101311023127. The reversal of 101311022993 is 399220113101.

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., 92962180609 + 8348842384 = 304897^2 + 91372^2 .

It is an emirp because it is prime and its reverse (399220113101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101311022993 - 2¹⁸ = 101310760849 is a prime.

It is not a weakly prime, because it can be changed into another prime (101311022933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655511496 + 50655511497.

It is an arithmetic number, because the mean of its divisors is an integer number (50655511497).

Almost surely, 2^101311022993 is an apocalyptic number.

It is an amenable number.

101311022993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101311022993 is an equidigital number, since it uses as much as digits as its factorization.

101311022993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 101311022993 in words is "one hundred one billion, three hundred eleven million, twenty-two thousand, nine hundred ninety-three".