123051325313 has 6 divisors (see below), whose sum is σ = 143141337666. Its totient is φ = 105472564512.

The previous prime is 123051325303. The next prime is 123051325333. The reversal of 123051325313 is 313523150321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 114576834064 + 8474491249 = 338492^2 + 92057^2 .

It is not a de Polignac number, because 123051325313 - 2⁶ = 123051325249 is a prime.

It is a super-2 number, since 2×123051325313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123051325303) 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 in 5 ways as a sum of consecutive naturals, for example, 1255625720 + ... + 1255625817.

It is an arithmetic number, because the mean of its divisors is an integer number (23856889611).

Almost surely, 2^123051325313 is an apocalyptic number.

It is an amenable number.

123051325313 is a deficient number, since it is larger than the sum of its proper divisors (20090012353).

123051325313 is an equidigital number, since it uses as much as digits as its factorization.

123051325313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511251551 (or 2511251544 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 123051325313 its reverse (313523150321), we get a palindrome (436574475634).

The spelling of 123051325313 in words is "one hundred twenty-three billion, fifty-one million, three hundred twenty-five thousand, three hundred thirteen".