2123120110013 has 6 divisors (see below), whose sum is σ = 2469751964766. Its totient is φ = 1819817237112.

The previous prime is 2123120109989. The next prime is 2123120110031. The reversal of 2123120110013 is 3100110213212.

It can be written as a sum of positive squares in only one way, i.e., 1614632745124 + 508487364889 = 1270682^2 + 713083^2 .

It is not a de Polignac number, because 2123120110013 - 2⁶ = 2123120109949 is a prime.

It is a super-2 number, since 2×2123120110013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123120109973 and 2123120110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123120110213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21664490870 + ... + 21664490967.

It is an arithmetic number, because the mean of its divisors is an integer number (411625327461).

Almost surely, 2^{2123120110013} is an apocalyptic number.

It is an amenable number.

2123120110013 is a deficient number, since it is larger than the sum of its proper divisors (346631854753).

2123120110013 is an equidigital number, since it uses as much as digits as its factorization.

2123120110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43328981851 (or 43328981844 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2123120110013 its reverse (3100110213212), we get a palindrome (5223230323225).

The spelling of 2123120110013 in words is "two trillion, one hundred twenty-three billion, one hundred twenty million, one hundred ten thousand, thirteen".