3321131312133 has 24 divisors (see below), whose sum is σ = 5009856538752. Its totient is φ = 2116091042208.

The previous prime is 3321131312119. The next prime is 3321131312183. The reversal of 3321131312133 is 3312131311233.

3321131312133 is a `hidden beast` number, since 3 + 3 + 211 + 3 + 1 + 312 + 133 = 666.

It is not a de Polignac number, because 3321131312133 - 2⁶ = 3321131312069 is a prime.

It is a super-2 number, since 2×3321131312133² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3321131312097 and 3321131312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321131312183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6306166 + ... + 6812487.

It is an arithmetic number, because the mean of its divisors is an integer number (208744022448).

Almost surely, 2^{3321131312133} is an apocalyptic number.

It is an amenable number.

3321131312133 is a deficient number, since it is larger than the sum of its proper divisors (1688725226619).

3321131312133 is a wasteful number, since it uses less digits than its factorization.

3321131312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13119905 (or 13119902 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 3321131312133 its reverse (3312131311233), we get a palindrome (6633262623366).

The spelling of 3321131312133 in words is "three trillion, three hundred twenty-one billion, one hundred thirty-one million, three hundred twelve thousand, one hundred thirty-three".