313311101 has 2 divisors, whose sum is σ = 313311102. Its totient is φ = 313311100.

The previous prime is 313311059. The next prime is 313311113. The reversal of 313311101 is 101113313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244171876 + 69139225 = 15626^2 + 8315^2 .

It is a cyclic number.

It is not a de Polignac number, because 313311101 - 2²⁶ = 246202237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313311161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156655550 + 156655551.

It is an arithmetic number, because the mean of its divisors is an integer number (156655551).

Almost surely, 2^313311101 is an apocalyptic number.

It is an amenable number.

313311101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313311101 is an equidigital number, since it uses as much as digits as its factorization.

313311101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 313311101 is about 17700.5960634098. The cubic root of 313311101 is about 679.1910080846.

Adding to 313311101 its reverse (101113313), we get a palindrome (414424414).

The spelling of 313311101 in words is "three hundred thirteen million, three hundred eleven thousand, one hundred one".