3211133012001 has 48 divisors (see below), whose sum is σ = 4899872074240. Its totient is φ = 2023272276480.

The previous prime is 3211133011987. The next prime is 3211133012023. The reversal of 3211133012001 is 1002103311123.

3211133012001 is a `hidden beast` number, since 3 + 211 + 1 + 330 + 120 + 0 + 1 = 666.

It is not a de Polignac number, because 3211133012001 - 2¹³ = 3211133003809 is a prime.

It is a super-3 number, since 3×3211133012001³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3211133002001) 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 47 ways as a sum of consecutive naturals, for example, 192771465 + ... + 192788121.

Almost surely, 2^{3211133012001} is an apocalyptic number.

3211133012001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3211133012001 is a deficient number, since it is larger than the sum of its proper divisors (1688739062239).

3211133012001 is a wasteful number, since it uses less digits than its factorization.

3211133012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32806 (or 32803 counting only the distinct ones).

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

Adding to 3211133012001 its reverse (1002103311123), we get a palindrome (4213236323124).

The spelling of 3211133012001 in words is "three trillion, two hundred eleven billion, one hundred thirty-three million, twelve thousand, one".