3311121030201 has 48 divisors (see below), whose sum is σ = 4919096429520. Its totient is φ = 2144651281920.

The previous prime is 3311121030071. The next prime is 3311121030211. The reversal of 3311121030201 is 1020301211133.

3311121030201 is a `hidden beast` number, since 3 + 311 + 121 + 0 + 30 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5909765625 + 3305211264576 = 76875^2 + 1818024^2 .

It is not a de Polignac number, because 3311121030201 - 2³⁵ = 3276761291833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3311121030211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065010035 + ... + 1065013143.

It is an arithmetic number, because the mean of its divisors is an integer number (102481175615).

Almost surely, 2^{3311121030201} is an apocalyptic number.

It is an amenable number.

3311121030201 is a deficient number, since it is larger than the sum of its proper divisors (1607975399319).

3311121030201 is a wasteful number, since it uses less digits than its factorization.

3311121030201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3311121030201 its reverse (1020301211133), we get a palindrome (4331422241334).

The spelling of 3311121030201 in words is "three trillion, three hundred eleven billion, one hundred twenty-one million, thirty thousand, two hundred one".