123131012833 has 2 divisors, whose sum is σ = 123131012834. Its totient is φ = 123131012832.

The previous prime is 123131012791. The next prime is 123131012843. The reversal of 123131012833 is 338210131321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109606020624 + 13524992209 = 331068^2 + 116297^2 .

It is an emirp because it is prime and its reverse (338210131321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123131012833 - 2³³ = 114541078241 is a prime.

It is a super-2 number, since 2×123131012833² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123131012843) 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, 61565506416 + 61565506417.

It is an arithmetic number, because the mean of its divisors is an integer number (61565506417).

Almost surely, 2^123131012833 is an apocalyptic number.

It is an amenable number.

123131012833 is a deficient number, since it is larger than the sum of its proper divisors (1).

123131012833 is an equidigital number, since it uses as much as digits as its factorization.

123131012833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 123131012833 in words is "one hundred twenty-three billion, one hundred thirty-one million, twelve thousand, eight hundred thirty-three".