41131313131311 has 48 divisors (see below), whose sum is σ = 66200727771360. Its totient is φ = 24434182967040.

The previous prime is 41131313131303. The next prime is 41131313131327. The reversal of 41131313131311 is 11313131313114.

41131313131311 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 1 + 31 + 313 + 1 + 311 = 666.

It is not a de Polignac number, because 41131313131311 - 2³ = 41131313131303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41131313136311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17008801 + ... + 19275941.

It is an arithmetic number, because the mean of its divisors is an integer number (1379181828570).

Almost surely, 2^{41131313131311} is an apocalyptic number.

41131313131311 is a deficient number, since it is larger than the sum of its proper divisors (25069414640049).

41131313131311 is a wasteful number, since it uses less digits than its factorization.

41131313131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272536 (or 2272533 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 41131313131311 its reverse (11313131313114), we get a palindrome (52444444444425).

The spelling of 41131313131311 in words is "forty-one trillion, one hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred eleven".