10131104342133 has 12 divisors (see below), whose sum is σ = 15404018298240. Its totient is φ = 6398592215976.

The previous prime is 10131104342087. The next prime is 10131104342167. The reversal of 10131104342133 is 33124340113101.

10131104342133 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 10 + 434 + 213 + 3 = 666.

It is not a de Polignac number, because 10131104342133 - 2¹⁸ = 10131104079989 is a prime.

It is a super-2 number, since 2×10131104342133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131104342097 and 10131104342106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131104342533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29623111941 + ... + 29623112282.

It is an arithmetic number, because the mean of its divisors is an integer number (1283668191520).

Almost surely, 2^{10131104342133} is an apocalyptic number.

It is an amenable number.

10131104342133 is a deficient number, since it is larger than the sum of its proper divisors (5272913956107).

10131104342133 is a wasteful number, since it uses less digits than its factorization.

10131104342133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59246224248 (or 59246224245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10131104342133 its reverse (33124340113101), we get a palindrome (43255444455234).

The spelling of 10131104342133 in words is "ten trillion, one hundred thirty-one billion, one hundred four million, three hundred forty-two thousand, one hundred thirty-three".