211013200113 has 24 divisors (see below), whose sum is σ = 294575555328. Its totient is φ = 134219820000.

The previous prime is 211013200109. The next prime is 211013200117. The reversal of 211013200113 is 311002310112.

It is a happy number.

211013200113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211013200109) and next prime (211013200117).

It is not a de Polignac number, because 211013200113 - 2² = 211013200109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211013200092 and 211013200101.

It is not an unprimeable number, because it can be changed into a prime (211013200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243763 + ... + 693863.

It is an arithmetic number, because the mean of its divisors is an integer number (12273981472).

Almost surely, 2^211013200113 is an apocalyptic number.

It is an amenable number.

211013200113 is a deficient number, since it is larger than the sum of its proper divisors (83562355215).

211013200113 is an equidigital number, since it uses as much as digits as its factorization.

211013200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450277 (or 450206 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211013200113 its reverse (311002310112), we get a palindrome (522015510225).

The spelling of 211013200113 in words is "two hundred eleven billion, thirteen million, two hundred thousand, one hundred thirteen".