101361329 has 2 divisors, whose sum is σ = 101361330. Its totient is φ = 101361328.

The previous prime is 101361313. The next prime is 101361331. The reversal of 101361329 is 923163101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99600400 + 1760929 = 9980^2 + 1327^2 .

It is a cyclic number.

It is not a de Polignac number, because 101361329 - 2⁴ = 101361313 is a prime.

It is a Sophie Germain prime.

Together with 101361331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101361298 and 101361307.

It is not a weakly prime, because it can be changed into another prime (101361829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50680664 + 50680665.

It is an arithmetic number, because the mean of its divisors is an integer number (50680665).

Almost surely, 2^101361329 is an apocalyptic number.

It is an amenable number.

101361329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101361329 is an equidigital number, since it uses as much as digits as its factorization.

101361329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 101361329 is about 10067.8363614036. The cubic root of 101361329 is about 466.2556405243.

The spelling of 101361329 in words is "one hundred one million, three hundred sixty-one thousand, three hundred twenty-nine".