10123312001323 has 2 divisors, whose sum is σ = 10123312001324. Its totient is φ = 10123312001322.

The previous prime is 10123312001273. The next prime is 10123312001353. The reversal of 10123312001323 is 32310021332101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10123312001323 - 2⁹ = 10123312000811 is a prime.

It is a super-2 number, since 2×10123312001323² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123312001294 and 10123312001303.

It is not a weakly prime, because it can be changed into another prime (10123312001353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061656000661 + 5061656000662.

It is an arithmetic number, because the mean of its divisors is an integer number (5061656000662).

Almost surely, 2^{10123312001323} is an apocalyptic number.

10123312001323 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123312001323 is an equidigital number, since it uses as much as digits as its factorization.

10123312001323 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10123312001323 its reverse (32310021332101), we get a palindrome (42433333333424).

The spelling of 10123312001323 in words is "ten trillion, one hundred twenty-three billion, three hundred twelve million, one thousand, three hundred twenty-three".