312268616101 has 16 divisors (see below), whose sum is σ = 344938113520. Its totient is φ = 280921374720.

The previous prime is 312268616087. The next prime is 312268616129. The reversal of 312268616101 is 101616862213.

It is a happy number.

It is a Cunningham number, because it is equal to 558810²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 47711664900 + 264556951201 = 218430^2 + 514351^2 .

It is a 10-Lehmer number, since φ(312268616101) divides (312268616101-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 312268616101 - 2¹³ = 312268607909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312268611101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719900 + ... + 1892773.

It is an arithmetic number, because the mean of its divisors is an integer number (21558632095).

Almost surely, 2^312268616101 is an apocalyptic number.

It is an amenable number.

312268616101 is a deficient number, since it is larger than the sum of its proper divisors (32669497419).

312268616101 is a wasteful number, since it uses less digits than its factorization.

312268616101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612856.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 312268616101 in words is "three hundred twelve billion, two hundred sixty-eight million, six hundred sixteen thousand, one hundred one".