11331313131006 has 24 divisors (see below), whose sum is σ = 26783103764664. Its totient is φ = 3433731251760.

The previous prime is 11331313131001. The next prime is 11331313131011. The reversal of 11331313131006 is 60013131313311.

11331313131006 is a `hidden beast` number, since 1 + 1 + 3 + 31 + 313 + 1 + 310 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11331313131001) and next prime (11331313131011).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331313131001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28614426901 + ... + 28614427296.

It is an arithmetic number, because the mean of its divisors is an integer number (1115962656861).

Almost surely, 2^{11331313131006} is an apocalyptic number.

11331313131006 is an abundant number, since it is smaller than the sum of its proper divisors (15451790633658).

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

11331313131006 is a wasteful number, since it uses less digits than its factorization.

11331313131006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57228854216 (or 57228854213 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 11331313131006 its reverse (60013131313311), we get a palindrome (71344444444317).

The spelling of 11331313131006 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, six".