3133133406 has 32 divisors (see below), whose sum is σ = 7498098720. Its totient is φ = 964040832.

The previous prime is 3133133359. The next prime is 3133133429. The reversal of 3133133406 is 6043313313.

3133133406 is a `hidden beast` number, since 3 + 1 + 3 + 313 + 340 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3133133406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230875 + ... + 2232278.

It is an arithmetic number, because the mean of its divisors is an integer number (234315585).

Almost surely, 2^3133133406 is an apocalyptic number.

3133133406 is an abundant number, since it is smaller than the sum of its proper divisors (4364965314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133133406 is a wasteful number, since it uses less digits than its factorization.

3133133406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463177 (or 4463171 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3133133406 is about 55974.3995590842. The cubic root of 3133133406 is about 1463.2761555392.

Adding to 3133133406 its reverse (6043313313), we get a palindrome (9176446719).

The spelling of 3133133406 in words is "three billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred six".