3311313001001 has 8 divisors (see below), whose sum is σ = 3435867826440. Its totient is φ = 3188603432448.

The previous prime is 3311313000959. The next prime is 3311313001033. The reversal of 3311313001001 is 1001003131133.

It can be written as a sum of positive squares in 4 ways, for example, as 1504302250000 + 1807010751001 = 1226500^2 + 1344251^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3311313001001 - 2¹⁸ = 3311312738857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3311313001091) 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 7 ways as a sum of consecutive naturals, for example, 461310566 + ... + 461317743.

It is an arithmetic number, because the mean of its divisors is an integer number (429483478305).

Almost surely, 2^{3311313001001} is an apocalyptic number.

It is an amenable number.

3311313001001 is a deficient number, since it is larger than the sum of its proper divisors (124554825439).

3311313001001 is an equidigital number, since it uses as much as digits as its factorization.

3311313001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922628443.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 3311313001001 its reverse (1001003131133), we get a palindrome (4312316132134).

The spelling of 3311313001001 in words is "three trillion, three hundred eleven billion, three hundred thirteen million, one thousand, one".