3120123100013 has 2 divisors, whose sum is σ = 3120123100014. Its totient is φ = 3120123100012.

The previous prime is 3120123099931. The next prime is 3120123100049. The reversal of 3120123100013 is 3100013210213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2626078588324 + 494044511689 = 1620518^2 + 702883^2 .

It is a cyclic number.

It is not a de Polignac number, because 3120123100013 - 2¹⁶ = 3120123034477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3120123099964 and 3120123100000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3120123100613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560061550006 + 1560061550007.

It is an arithmetic number, because the mean of its divisors is an integer number (1560061550007).

Almost surely, 2^{3120123100013} is an apocalyptic number.

It is an amenable number.

3120123100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3120123100013 is an equidigital number, since it uses as much as digits as its factorization.

3120123100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3120123100013 its reverse (3100013210213), we get a palindrome (6220136310226).

The spelling of 3120123100013 in words is "three trillion, one hundred twenty billion, one hundred twenty-three million, one hundred thousand, thirteen".