3120100112113 has 2 divisors, whose sum is σ = 3120100112114. Its totient is φ = 3120100112112.

The previous prime is 3120100112027. The next prime is 3120100112117. The reversal of 3120100112113 is 3112110010213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2648147599969 + 471952512144 = 1627313^2 + 686988^2 .

It is an emirp because it is prime and its reverse (3112110010213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3120100112113 is a prime.

It is a super-3 number, since 3×3120100112113³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3120100112117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560050056056 + 1560050056057.

It is an arithmetic number, because the mean of its divisors is an integer number (1560050056057).

Almost surely, 2^{3120100112113} is an apocalyptic number.

It is an amenable number.

3120100112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3120100112113 is an equidigital number, since it uses as much as digits as its factorization.

3120100112113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 3120100112113 its reverse (3112110010213), we get a palindrome (6232210122326).

The spelling of 3120100112113 in words is "three trillion, one hundred twenty billion, one hundred million, one hundred twelve thousand, one hundred thirteen".