113010100213 has 2 divisors, whose sum is σ = 113010100214. Its totient is φ = 113010100212.

The previous prime is 113010100211. The next prime is 113010100253. The reversal of 113010100213 is 312001010311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112471024689 + 539075524 = 335367^2 + 23218^2 .

It is a cyclic number.

It is not a de Polignac number, because 113010100213 - 2¹ = 113010100211 is a prime.

Together with 113010100211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 113010100193 and 113010100202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113010100211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56505050106 + 56505050107.

It is an arithmetic number, because the mean of its divisors is an integer number (56505050107).

Almost surely, 2^113010100213 is an apocalyptic number.

It is an amenable number.

113010100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

113010100213 is an equidigital number, since it uses as much as digits as its factorization.

113010100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 113010100213 its reverse (312001010311), we get a palindrome (425011110524).

The spelling of 113010100213 in words is "one hundred thirteen billion, ten million, one hundred thousand, two hundred thirteen".