10134034123131 has 8 divisors (see below), whose sum is σ = 15013383886160. Its totient is φ = 6756022748736.

The previous prime is 10134034123043. The next prime is 10134034123223. The reversal of 10134034123131 is 13132143043101.

10134034123131 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 0 + 341 + 2 + 313 + 1 = 666.

It is not a de Polignac number, because 10134034123131 - 2¹⁴ = 10134034106747 is a prime.

It is a super-2 number, since 2×10134034123131² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 375334597153 = 10134034123131 / (1 + 0 + 1 + 3 + 4 + 0 + 3 + 4 + 1 + 2 + 3 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10134034123095 and 10134034123104.

It is not an unprimeable number, because it can be changed into a prime (10134034121131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187667298550 + ... + 187667298603.

It is an arithmetic number, because the mean of its divisors is an integer number (1876672985770).

Almost surely, 2^{10134034123131} is an apocalyptic number.

10134034123131 is a deficient number, since it is larger than the sum of its proper divisors (4879349763029).

10134034123131 is an equidigital number, since it uses as much as digits as its factorization.

10134034123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375334597162 (or 375334597156 counting only the distinct ones).

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

Adding to 10134034123131 its reverse (13132143043101), we get a palindrome (23266177166232).

The spelling of 10134034123131 in words is "ten trillion, one hundred thirty-four billion, thirty-four million, one hundred twenty-three thousand, one hundred thirty-one".