3101121123013 has 24 divisors (see below), whose sum is σ = 3313396366280. Its totient is φ = 2901765980160.

The previous prime is 3101121123011. The next prime is 3101121123041. The reversal of 3101121123013 is 3103211211013.

It can be written as a sum of positive squares in 12 ways, for example, as 143415962209 + 2957705160804 = 378703^2 + 1719798^2 .

It is not a de Polignac number, because 3101121123013 - 2¹ = 3101121123011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101121123011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273727333 + ... + 273738661.

Almost surely, 2^{3101121123013} is an apocalyptic number.

It is an amenable number.

3101121123013 is a deficient number, since it is larger than the sum of its proper divisors (212275243267).

3101121123013 is a wasteful number, since it uses less digits than its factorization.

3101121123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16777 (or 16760 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 3101121123013 its reverse (3103211211013), we get a palindrome (6204332334026).

The spelling of 3101121123013 in words is "three trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-three thousand, thirteen".