101361311 has 2 divisors, whose sum is σ = 101361312. Its totient is φ = 101361310.

The previous prime is 101361251. The next prime is 101361313. The reversal of 101361311 is 113163101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101361311 - 2¹⁴ = 101344927 is a prime.

It is a Sophie Germain prime.

Together with 101361313, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101361311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101361313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50680655 + 50680656.

It is an arithmetic number, because the mean of its divisors is an integer number (50680656).

Almost surely, 2^101361311 is an apocalyptic number.

101361311 is a deficient number, since it is larger than the sum of its proper divisors (1).

101361311 is an equidigital number, since it uses as much as digits as its factorization.

101361311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 101361311 is about 10067.8354674677. The cubic root of 101361311 is about 466.2556129247.

The spelling of 101361311 in words is "one hundred one million, three hundred sixty-one thousand, three hundred eleven".