11631134123105 has 96 divisors (see below), whose sum is σ = 16713587278080. Its totient is φ = 7743393262080.

The previous prime is 11631134123057. The next prime is 11631134123113. The reversal of 11631134123105 is 50132143113611.

It is not a de Polignac number, because 11631134123105 - 2⁸ = 11631134122849 is a prime.

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, 3135919991 + ... + 3135923699.

It is an arithmetic number, because the mean of its divisors is an integer number (174099867480).

Almost surely, 2^{11631134123105} is an apocalyptic number.

It is an amenable number.

11631134123105 is a deficient number, since it is larger than the sum of its proper divisors (5082453154975).

11631134123105 is a wasteful number, since it uses less digits than its factorization.

11631134123105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 11631134123105 its reverse (50132143113611), we get a palindrome (61763277236716).

The spelling of 11631134123105 in words is "eleven trillion, six hundred thirty-one billion, one hundred thirty-four million, one hundred twenty-three thousand, one hundred five".