211005121113 has 12 divisors (see below), whose sum is σ = 306546941220. Its totient is φ = 139856957856.

The previous prime is 211005121087. The next prime is 211005121139. The reversal of 211005121113 is 311121500112.

It is an interprime number because it is at equal distance from previous prime (211005121087) and next prime (211005121139).

It can be written as a sum of positive squares in 2 ways, for example, as 179968547529 + 31036573584 = 424227^2 + 176172^2 .

It is not a de Polignac number, because 211005121113 - 2⁶ = 211005121049 is a prime.

It is a super-2 number, since 2×211005121113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211006121113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67758598 + ... + 67761711.

It is an arithmetic number, because the mean of its divisors is an integer number (25545578435).

Almost surely, 2^211005121113 is an apocalyptic number.

It is an amenable number.

211005121113 is a deficient number, since it is larger than the sum of its proper divisors (95541820107).

211005121113 is a wasteful number, since it uses less digits than its factorization.

211005121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135520488 (or 135520485 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 211005121113 its reverse (311121500112), we get a palindrome (522126621225).

The spelling of 211005121113 in words is "two hundred eleven billion, five million, one hundred twenty-one thousand, one hundred thirteen".