312032103002001 has 12 divisors (see below), whose sum is σ = 477225569297412. Its totient is φ = 195784848942336.

The previous prime is 312032103001999. The next prime is 312032103002003. The reversal of 312032103002001 is 100200301230213.

312032103002001 is a `hidden beast` number, since 3 + 1 + 20 + 321 + 0 + 300 + 20 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (312032103001999) and next prime (312032103002003).

It can be written as a sum of positive squares in 2 ways, for example, as 246881053577601 + 65151049424400 = 15712449^2 + 8071620^2 .

It is not a de Polignac number, because 312032103002001 - 2¹ = 312032103001999 is a prime.

It is a super-2 number, since 2×312032103002001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312032103002003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1019712754756 + ... + 1019712755061.

It is an arithmetic number, because the mean of its divisors is an integer number (39768797441451).

Almost surely, 2^{312032103002001} is an apocalyptic number.

It is an amenable number.

312032103002001 is a deficient number, since it is larger than the sum of its proper divisors (165193466295411).

312032103002001 is a wasteful number, since it uses less digits than its factorization.

312032103002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039425509840 (or 2039425509837 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312032103002001 its reverse (100200301230213), we get a palindrome (412232404232214).

The spelling of 312032103002001 in words is "three hundred twelve trillion, thirty-two billion, one hundred three million, two thousand, one".