2112320100113 has 2 divisors, whose sum is σ = 2112320100114. Its totient is φ = 2112320100112.

The previous prime is 2112320100053. The next prime is 2112320100131. The reversal of 2112320100113 is 3110010232112.

Together with next prime (2112320100131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2111740831489 + 579268624 = 1453183^2 + 24068^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112320100113 - 2²² = 2112315905809 is a prime.

It is a super-2 number, since 2×2112320100113² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112320100091 and 2112320100100.

It is not a weakly prime, because it can be changed into another prime (2112320100133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056160050056 + 1056160050057.

It is an arithmetic number, because the mean of its divisors is an integer number (1056160050057).

Almost surely, 2^{2112320100113} is an apocalyptic number.

It is an amenable number.

2112320100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112320100113 is an equidigital number, since it uses as much as digits as its factorization.

2112320100113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2112320100113 its reverse (3110010232112), we get a palindrome (5222330332225).

The spelling of 2112320100113 in words is "two trillion, one hundred twelve billion, three hundred twenty million, one hundred thousand, one hundred thirteen".