10312242242031 has 8 divisors (see below), whose sum is σ = 15277395914160. Its totient is φ = 6874828161336.

The previous prime is 10312242242021. The next prime is 10312242242033. The reversal of 10312242242031 is 13024224221301.

10312242242031 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 2 + 422 + 4 + 203 + 1 = 666.

It is not a de Polignac number, because 10312242242031 - 2⁵ = 10312242241999 is a prime.

It is a super-2 number, since 2×10312242242031² (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: 381934897853 = 10312242242031 / (1 + 0 + 3 + 1 + 2 + 2 + 4 + 2 + 2 + 4 + 2 + 0 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10312242241986 and 10312242242004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312242242033) 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, 190967448900 + ... + 190967448953.

It is an arithmetic number, because the mean of its divisors is an integer number (1909674489270).

Almost surely, 2^{10312242242031} is an apocalyptic number.

10312242242031 is a deficient number, since it is larger than the sum of its proper divisors (4965153672129).

10312242242031 is an equidigital number, since it uses as much as digits as its factorization.

10312242242031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381934897862 (or 381934897856 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10312242242031 its reverse (13024224221301), we get a palindrome (23336466463332).

The spelling of 10312242242031 in words is "ten trillion, three hundred twelve billion, two hundred forty-two million, two hundred forty-two thousand, thirty-one".