101314349 has 2 divisors, whose sum is σ = 101314350. Its totient is φ = 101314348.

The previous prime is 101314337. The next prime is 101314357. The reversal of 101314349 is 943413101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75811849 + 25502500 = 8707^2 + 5050^2 .

It is an emirp because it is prime and its reverse (943413101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101314349 - 2²⁴ = 84537133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101314309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50657174 + 50657175.

It is an arithmetic number, because the mean of its divisors is an integer number (50657175).

Almost surely, 2^101314349 is an apocalyptic number.

It is an amenable number.

101314349 is a deficient number, since it is larger than the sum of its proper divisors (1).

101314349 is an equidigital number, since it uses as much as digits as its factorization.

101314349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 101314349 is about 10065.5029183842. The cubic root of 101314349 is about 466.1835943923.

The spelling of 101314349 in words is "one hundred one million, three hundred fourteen thousand, three hundred forty-nine".