10304334012231 has 192 divisors, whose sum is σ = 18160136257536. Its totient is φ = 5717646144000.

The previous prime is 10304334012179. The next prime is 10304334012257. The reversal of 10304334012231 is 13221043340301.

It is a happy number.

10304334012231 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 33 + 401 + 223 + 1 = 666.

It is not a de Polignac number, because 10304334012231 - 2³⁸ = 10029456105287 is a prime.

It is a super-2 number, since 2×10304334012231² (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).

It is a junction number, because it is equal to n+sod(n) for n = 10304334012195 and 10304334012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304334012281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3678804031 + ... + 3678806831.

It is an arithmetic number, because the mean of its divisors is an integer number (94584043008).

Almost surely, 2^{10304334012231} is an apocalyptic number.

10304334012231 is a deficient number, since it is larger than the sum of its proper divisors (7855802245305).

10304334012231 is an equidigital number, since it uses as much as digits as its factorization.

10304334012231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10304334012231 its reverse (13221043340301), we get a palindrome (23525377352532).

The spelling of 10304334012231 in words is "ten trillion, three hundred four billion, three hundred thirty-four million, twelve thousand, two hundred thirty-one".