312001130333401 has 16 divisors (see below), whose sum is σ = 323020883062800. Its totient is φ = 300998799360000.

The previous prime is 312001130333381. The next prime is 312001130333489. The reversal of 312001130333401 is 104333031100213.

It can be written as a sum of positive squares in 8 ways, for example, as 536907907600 + 311464222425801 = 732740^2 + 17648349^2 .

It is a cyclic number.

It is not a de Polignac number, because 312001130333401 - 2⁷ = 312001130333273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312001130334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289560921 + ... + 1289802841.

It is an arithmetic number, because the mean of its divisors is an integer number (20188805191425).

Almost surely, 2^{312001130333401} is an apocalyptic number.

It is an amenable number.

312001130333401 is a deficient number, since it is larger than the sum of its proper divisors (11019752729399).

312001130333401 is a wasteful number, since it uses less digits than its factorization.

312001130333401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277740.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 312001130333401 its reverse (104333031100213), we get a palindrome (416334161433614).

The spelling of 312001130333401 in words is "three hundred twelve trillion, one billion, one hundred thirty million, three hundred thirty-three thousand, four hundred one".