101313203119253 has 2 divisors, whose sum is σ = 101313203119254. Its totient is φ = 101313203119252.

The previous prime is 101313203119241. The next prime is 101313203119339. The reversal of 101313203119253 is 352911302313101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90498063224209 + 10815139895044 = 9513047^2 + 3288638^2 .

It is a cyclic number.

It is not a de Polignac number, because 101313203119253 - 2¹⁰ = 101313203118229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101313203199253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656601559626 + 50656601559627.

It is an arithmetic number, because the mean of its divisors is an integer number (50656601559627).

Almost surely, 2^{101313203119253} is an apocalyptic number.

It is an amenable number.

101313203119253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313203119253 is an equidigital number, since it uses as much as digits as its factorization.

101313203119253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The spelling of 101313203119253 in words is "one hundred one trillion, three hundred thirteen billion, two hundred three million, one hundred nineteen thousand, two hundred fifty-three".