101330101110523 has 2 divisors, whose sum is σ = 101330101110524. Its totient is φ = 101330101110522.

The previous prime is 101330101110481. The next prime is 101330101110583. The reversal of 101330101110523 is 325011101033101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101330101110523 - 2⁴¹ = 99131077854971 is a prime.

It is a super-2 number, since 2×101330101110523² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101330101110494 and 101330101110503.

It is not a weakly prime, because it can be changed into another prime (101330101110583) 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, 50665050555261 + 50665050555262.

It is an arithmetic number, because the mean of its divisors is an integer number (50665050555262).

Almost surely, 2^{101330101110523} is an apocalyptic number.

101330101110523 is a deficient number, since it is larger than the sum of its proper divisors (1).

101330101110523 is an equidigital number, since it uses as much as digits as its factorization.

101330101110523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

Adding to 101330101110523 its reverse (325011101033101), we get a palindrome (426341202143624).

The spelling of 101330101110523 in words is "one hundred one trillion, three hundred thirty billion, one hundred one million, one hundred ten thousand, five hundred twenty-three".