10302312321 has 72 divisors (see below), whose sum is σ = 18285059520. Its totient is φ = 5671596672.

The previous prime is 10302312311. The next prime is 10302312353. The reversal of 10302312321 is 12321320301.

10302312321 is a `hidden beast` number, since 1 + 0 + 30 + 2 + 312 + 321 = 666.

It is not a de Polignac number, because 10302312321 - 2¹⁰ = 10302311297 is a prime.

It is a super-2 number, since 2×10302312321² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302312294 and 10302312303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302312311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22543125 + ... + 22543581.

It is an arithmetic number, because the mean of its divisors is an integer number (253959160).

Almost surely, 2^10302312321 is an apocalyptic number.

It is an amenable number.

10302312321 is a deficient number, since it is larger than the sum of its proper divisors (7982747199).

10302312321 is an frugal number, since it uses more digits than its factorization.

10302312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10302312321 its reverse (12321320301), we get a palindrome (22623632622).

The spelling of 10302312321 in words is "ten billion, three hundred two million, three hundred twelve thousand, three hundred twenty-one".