211212022010013 has 48 divisors (see below), whose sum is σ = 308618633372400. Its totient is φ = 139181359104000.

The previous prime is 211212022009993. The next prime is 211212022010117. The reversal of 211212022010013 is 310010220212112.

211212022010013 is a `hidden beast` number, since 211 + 2 + 120 + 220 + 100 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50969918619684 + 160242103390329 = 7139322^2 + 12658677^2 .

It is not a de Polignac number, because 211212022010013 - 2²⁴ = 211212005232797 is a prime.

It is a super-2 number, since 2×211212022010013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212022010813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8782557813 + ... + 8782581861.

It is an arithmetic number, because the mean of its divisors is an integer number (6429554861925).

Almost surely, 2^{211212022010013} is an apocalyptic number.

It is an amenable number.

211212022010013 is a deficient number, since it is larger than the sum of its proper divisors (97406611362387).

211212022010013 is a wasteful number, since it uses less digits than its factorization.

211212022010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39870 (or 39867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211212022010013 its reverse (310010220212112), we get a palindrome (521222242222125).

The spelling of 211212022010013 in words is "two hundred eleven trillion, two hundred twelve billion, twenty-two million, ten thousand, thirteen".