312114101 has 12 divisors (see below), whose sum is σ = 357853572. Its totient is φ = 271155456.

The previous prime is 312114059. The next prime is 312114109. The reversal of 312114101 is 101411213.

It can be written as a sum of positive squares in 6 ways, for example, as 30747025 + 281367076 = 5545^2 + 16774^2 .

It is not a de Polignac number, because 312114101 - 2¹⁰ = 312113077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312114109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51446 + ... + 57191.

It is an arithmetic number, because the mean of its divisors is an integer number (29821131).

Almost surely, 2^312114101 is an apocalyptic number.

It is an amenable number.

312114101 is a deficient number, since it is larger than the sum of its proper divisors (45739471).

312114101 is a wasteful number, since it uses less digits than its factorization.

312114101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108680 (or 108667 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 312114101 is about 17666.7512859609. The cubic root of 312114101 is about 678.3249581450.

Adding to 312114101 its reverse (101411213), we get a palindrome (413525314).

The spelling of 312114101 in words is "three hundred twelve million, one hundred fourteen thousand, one hundred one".