312031310201 has 16 divisors (see below), whose sum is σ = 364478477328. Its totient is φ = 264474163200.

The previous prime is 312031310189. The next prime is 312031310233. The reversal of 312031310201 is 102013130213.

It can be written as a sum of positive squares in 8 ways, for example, as 136051060201 + 175980250000 = 368851^2 + 419500^2 .

It is not a de Polignac number, because 312031310201 - 2³⁰ = 310957568377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312031310201.

It is not an unprimeable number, because it can be changed into a prime (312031313201) 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 in 15 ways as a sum of consecutive naturals, for example, 17209310 + ... + 17227431.

It is an arithmetic number, because the mean of its divisors is an integer number (22779904833).

Almost surely, 2^312031310201 is an apocalyptic number.

It is an amenable number.

312031310201 is a deficient number, since it is larger than the sum of its proper divisors (52447167127).

312031310201 is a wasteful number, since it uses less digits than its factorization.

312031310201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34436812.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 312031310201 its reverse (102013130213), we get a palindrome (414044440414).

The spelling of 312031310201 in words is "three hundred twelve billion, thirty-one million, three hundred ten thousand, two hundred one".