101331340993 has 2 divisors, whose sum is σ = 101331340994. Its totient is φ = 101331340992.

The previous prime is 101331340991. The next prime is 101331341029. The reversal of 101331340993 is 399043133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78726819889 + 22604521104 = 280583^2 + 150348^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331340993 - 2¹ = 101331340991 is a prime.

Together with 101331340991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101331340991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665670496 + 50665670497.

It is an arithmetic number, because the mean of its divisors is an integer number (50665670497).

Almost surely, 2^101331340993 is an apocalyptic number.

It is an amenable number.

101331340993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331340993 is an equidigital number, since it uses as much as digits as its factorization.

101331340993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26244, while the sum is 37.

The spelling of 101331340993 in words is "one hundred one billion, three hundred thirty-one million, three hundred forty thousand, nine hundred ninety-three".