3133120440042 has 36 divisors (see below), whose sum is σ = 6885386119170. Its totient is φ = 1029663964560.

The previous prime is 3133120439983. The next prime is 3133120440077. The reversal of 3133120440042 is 2400440213313.

3133120440042 is a `hidden beast` number, since 3 + 13 + 3 + 1 + 204 + 400 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2653025273721 + 480095166321 = 1628811^2 + 692889^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3133120439988 and 3133120440015.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17173917 + ... + 17355392.

Almost surely, 2^{3133120440042} is an apocalyptic number.

3133120440042 is an abundant number, since it is smaller than the sum of its proper divisors (3752265679128).

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

3133120440042 is a wasteful number, since it uses less digits than its factorization.

3133120440042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34529459 (or 34529385 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3133120440042 its reverse (2400440213313), we get a palindrome (5533560653355).

The spelling of 3133120440042 in words is "three trillion, one hundred thirty-three billion, one hundred twenty million, four hundred forty thousand, forty-two".