211001100213113 has 24 divisors (see below), whose sum is σ = 252089963082048. Its totient is φ = 172990935086112.

The previous prime is 211001100213089. The next prime is 211001100213143. The reversal of 211001100213113 is 311312001100112.

It is a de Polignac number, because none of the positive numbers 2^k-211001100213113 is a prime.

It is a super-2 number, since 2×211001100213113² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211001100213091 and 211001100213100.

It is not an unprimeable number, because it can be changed into a prime (211001100213143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176842070 + ... + 178031232.

It is an arithmetic number, because the mean of its divisors is an integer number (10503748461752).

Almost surely, 2^{211001100213113} is an apocalyptic number.

211001100213113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211001100213113 is a deficient number, since it is larger than the sum of its proper divisors (41088862868935).

211001100213113 is a wasteful number, since it uses less digits than its factorization.

211001100213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237133 (or 1237110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 211001100213113 its reverse (311312001100112), we get a palindrome (522313101313225).

The spelling of 211001100213113 in words is "two hundred eleven trillion, one billion, one hundred million, two hundred thirteen thousand, one hundred thirteen".