101011330313 has 2 divisors, whose sum is σ = 101011330314. Its totient is φ = 101011330312.

The previous prime is 101011330283. The next prime is 101011330331. The reversal of 101011330313 is 313033110101.

Together with next prime (101011330331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76059020944 + 24952309369 = 275788^2 + 157963^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011330313 - 2²⁰ = 101010281737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011330291 and 101011330300.

It is not a weakly prime, because it can be changed into another prime (101011330363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505665156 + 50505665157.

It is an arithmetic number, because the mean of its divisors is an integer number (50505665157).

Almost surely, 2^101011330313 is an apocalyptic number.

It is an amenable number.

101011330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011330313 is an equidigital number, since it uses as much as digits as its factorization.

101011330313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101011330313 its reverse (313033110101), we get a palindrome (414044440414).

The spelling of 101011330313 in words is "one hundred one billion, eleven million, three hundred thirty thousand, three hundred thirteen".