3011131144242 has 192 divisors, whose sum is σ = 7499353286880. Its totient is φ = 864987144192.

The previous prime is 3011131144199. The next prime is 3011131144319. The reversal of 3011131144242 is 2424411311103.

It is a happy number.

3011131144242 is a `hidden beast` number, since 301 + 1 + 1 + 3 + 114 + 4 + 242 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1006729282881 + 2004401861361 = 1003359^2 + 1415769^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252330508 + ... + 252342440.

Almost surely, 2^{3011131144242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3011131144242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749676643440).

3011131144242 is an abundant number, since it is smaller than the sum of its proper divisors (4488222142638).

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

3011131144242 is a wasteful number, since it uses less digits than its factorization.

3011131144242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12477 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 3011131144242 its reverse (2424411311103), we get a palindrome (5435542455345).

The spelling of 3011131144242 in words is "three trillion, eleven billion, one hundred thirty-one million, one hundred forty-four thousand, two hundred forty-two".