2011211012213 has 24 divisors (see below), whose sum is σ = 2185868802312. Its totient is φ = 1849650536448.

The previous prime is 2011211012189. The next prime is 2011211012303. The reversal of 2011211012213 is 3122101121102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1973527661329 + 37683350884 = 1404823^2 + 194122^2 .

It is not a de Polignac number, because 2011211012213 - 2¹² = 2011211008117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2011211012191 and 2011211012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011211012113) 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, 72350045 + ... + 72377837.

It is an arithmetic number, because the mean of its divisors is an integer number (91077866763).

Almost surely, 2^{2011211012213} is an apocalyptic number.

It is an amenable number.

2011211012213 is a deficient number, since it is larger than the sum of its proper divisors (174657790099).

2011211012213 is a wasteful number, since it uses less digits than its factorization.

2011211012213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29385 (or 29372 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2011211012213 its reverse (3122101121102), we get a palindrome (5133312133315).

The spelling of 2011211012213 in words is "two trillion, eleven billion, two hundred eleven million, twelve thousand, two hundred thirteen".