101133111332329 has 2 divisors, whose sum is σ = 101133111332330. Its totient is φ = 101133111332328.

The previous prime is 101133111332221. The next prime is 101133111332353. The reversal of 101133111332329 is 923233111331101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99219528810000 + 1913582522329 = 9960900^2 + 1383323^2 .

It is a cyclic number.

It is not a de Polignac number, because 101133111332329 - 2²⁹ = 101132574461417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101133111332294 and 101133111332303.

It is not a weakly prime, because it can be changed into another prime (101133111332129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566555666164 + 50566555666165.

It is an arithmetic number, because the mean of its divisors is an integer number (50566555666165).

Almost surely, 2^{101133111332329} is an apocalyptic number.

It is an amenable number.

101133111332329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101133111332329 is an equidigital number, since it uses as much as digits as its factorization.

101133111332329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 101133111332329 in words is "one hundred one trillion, one hundred thirty-three billion, one hundred eleven million, three hundred thirty-two thousand, three hundred twenty-nine".