123331303031 has 2 divisors, whose sum is σ = 123331303032. Its totient is φ = 123331303030.

The previous prime is 123331303013. The next prime is 123331303033. The reversal of 123331303031 is 130303133321.

Together with previous prime (123331303013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123331303031 is a prime.

It is a super-2 number, since 2×123331303031² (a number of 23 digits) contains 22 as substring.

Together with 123331303033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123331302988 and 123331303006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123331303033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61665651515 + 61665651516.

It is an arithmetic number, because the mean of its divisors is an integer number (61665651516).

Almost surely, 2^123331303031 is an apocalyptic number.

123331303031 is a deficient number, since it is larger than the sum of its proper divisors (1).

123331303031 is an equidigital number, since it uses as much as digits as its factorization.

123331303031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 123331303031 its reverse (130303133321), we get a palindrome (253634436352).

The spelling of 123331303031 in words is "one hundred twenty-three billion, three hundred thirty-one million, three hundred three thousand, thirty-one".