313121101 has 2 divisors, whose sum is σ = 313121102. Its totient is φ = 313121100.

The previous prime is 313121099. The next prime is 313121119. The reversal of 313121101 is 101121313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303665476 + 9455625 = 17426^2 + 3075^2 .

It is a cyclic number.

It is not a de Polignac number, because 313121101 - 2¹ = 313121099 is a prime.

Together with 313121099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313125101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156560550 + 156560551.

It is an arithmetic number, because the mean of its divisors is an integer number (156560551).

Almost surely, 2^313121101 is an apocalyptic number.

It is an amenable number.

313121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313121101 is an equidigital number, since it uses as much as digits as its factorization.

313121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 313121101 is about 17695.2281985851. The cubic root of 313121101 is about 679.0536872921.

Adding to 313121101 its reverse (101121313), we get a palindrome (414242414).

The spelling of 313121101 in words is "three hundred thirteen million, one hundred twenty-one thousand, one hundred one".