10123331357 has 2 divisors, whose sum is σ = 10123331358. Its totient is φ = 10123331356.

The previous prime is 10123331327. The next prime is 10123331359. The reversal of 10123331357 is 75313332101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10094019961 + 29311396 = 100469^2 + 5414^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123331357 - 2¹⁶ = 10123265821 is a prime.

It is a super-2 number, since 2×10123331357² (a number of 21 digits) contains 22 as substring.

Together with 10123331359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123331359) 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, 5061665678 + 5061665679.

It is an arithmetic number, because the mean of its divisors is an integer number (5061665679).

Almost surely, 2^10123331357 is an apocalyptic number.

It is an amenable number.

10123331357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123331357 is an equidigital number, since it uses as much as digits as its factorization.

10123331357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 29.

Adding to 10123331357 its reverse (75313332101), we get a palindrome (85436663458).

The spelling of 10123331357 in words is "ten billion, one hundred twenty-three million, three hundred thirty-one thousand, three hundred fifty-seven".