101314253 has 2 divisors, whose sum is σ = 101314254. Its totient is φ = 101314252.

The previous prime is 101314247. The next prime is 101314267. The reversal of 101314253 is 352413101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98763844 + 2550409 = 9938^2 + 1597^2 .

It is an emirp because it is prime and its reverse (352413101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101314253 - 2⁸ = 101313997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101314223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50657126 + 50657127.

It is an arithmetic number, because the mean of its divisors is an integer number (50657127).

Almost surely, 2^101314253 is an apocalyptic number.

It is an amenable number.

101314253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101314253 is an equidigital number, since it uses as much as digits as its factorization.

101314253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 101314253 is about 10065.4981496198. The cubic root of 101314253 is about 466.1834471488.

Adding to 101314253 its reverse (352413101), we get a palindrome (453727354).

The spelling of 101314253 in words is "one hundred one million, three hundred fourteen thousand, two hundred fifty-three".