312131222101 has 2 divisors, whose sum is σ = 312131222102. Its totient is φ = 312131222100.

The previous prime is 312131222021. The next prime is 312131222113. The reversal of 312131222101 is 101222131213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196377491025 + 115753731076 = 443145^2 + 340226^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131222101 - 2¹³ = 312131213909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312131222801) 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, 156065611050 + 156065611051.

It is an arithmetic number, because the mean of its divisors is an integer number (156065611051).

Almost surely, 2^312131222101 is an apocalyptic number.

It is an amenable number.

312131222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131222101 is an equidigital number, since it uses as much as digits as its factorization.

312131222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312131222101 its reverse (101222131213), we get a palindrome (413353353314).

It can be divided in two parts, 3121312 and 22101, that added together give a palindrome (3143413).

The spelling of 312131222101 in words is "three hundred twelve billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred one".