10131824673 has 6 divisors (see below), whose sum is σ = 14634857874. Its totient is φ = 6754549776.

The previous prime is 10131824671. The next prime is 10131824701. The reversal of 10131824673 is 37642813101.

It is a happy number.

10131824673 is a `hidden beast` number, since 1 + 0 + 13 + 182 + 467 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6510553344 + 3621271329 = 80688^2 + 60177^2 .

It is not a de Polignac number, because 10131824673 - 2¹ = 10131824671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10131824671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562879140 + ... + 562879157.

It is an arithmetic number, because the mean of its divisors is an integer number (2439142979).

Almost surely, 2^10131824673 is an apocalyptic number.

It is an amenable number.

10131824673 is a deficient number, since it is larger than the sum of its proper divisors (4503033201).

10131824673 is a wasteful number, since it uses less digits than its factorization.

10131824673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125758303 (or 1125758300 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10131824673 in words is "ten billion, one hundred thirty-one million, eight hundred twenty-four thousand, six hundred seventy-three".