101233010033 has 2 divisors, whose sum is σ = 101233010034. Its totient is φ = 101233010032.

The previous prime is 101233009987. The next prime is 101233010041. The reversal of 101233010033 is 330010332101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90100227889 + 11132782144 = 300167^2 + 105512^2 .

It is an emirp because it is prime and its reverse (330010332101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101233010033 - 2²² = 101228815729 is a prime.

It is a super-2 number, since 2×101233010033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101233009993 and 101233010020.

It is not a weakly prime, because it can be changed into another prime (101233010093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50616505016 + 50616505017.

It is an arithmetic number, because the mean of its divisors is an integer number (50616505017).

Almost surely, 2^101233010033 is an apocalyptic number.

It is an amenable number.

101233010033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101233010033 is an equidigital number, since it uses as much as digits as its factorization.

101233010033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 101233010033 its reverse (330010332101), we get a palindrome (431243342134).

The spelling of 101233010033 in words is "one hundred one billion, two hundred thirty-three million, ten thousand, thirty-three".