312133310122001 has 16 divisors (see below), whose sum is σ = 332757565938000. Its totient is φ = 291761089271808.

The previous prime is 312133310121979. The next prime is 312133310122031. The reversal of 312133310122001 is 100221013331213.

It can be written as a sum of positive squares in 8 ways, for example, as 81912925931776 + 230220384190225 = 9050576^2 + 15173015^2 .

It is a cyclic number.

It is not a de Polignac number, because 312133310122001 - 2¹⁸ = 312133309859857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312133310122031) 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, 10172285 + ... + 26976693.

It is an arithmetic number, because the mean of its divisors is an integer number (20797347871125).

Almost surely, 2^{312133310122001} is an apocalyptic number.

It is an amenable number.

312133310122001 is a deficient number, since it is larger than the sum of its proper divisors (20624255815999).

312133310122001 is a wasteful number, since it uses less digits than its factorization.

312133310122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16811908.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 312133310122001 its reverse (100221013331213), we get a palindrome (412354323453214).

The spelling of 312133310122001 in words is "three hundred twelve trillion, one hundred thirty-three billion, three hundred ten million, one hundred twenty-two thousand, one".