11011211112213 has 12 divisors (see below), whose sum is σ = 17128550619180. Its totient is φ = 6776129915136.

The previous prime is 11011211112193. The next prime is 11011211112233. The reversal of 11011211112213 is 31221111211011.

It is an interprime number because it is at equal distance from previous prime (11011211112193) and next prime (11011211112233).

It can be written as a sum of positive squares in 2 ways, for example, as 6794274935889 + 4216936176324 = 2606583^2 + 2053518^2 .

It is not a de Polignac number, because 11011211112213 - 2²⁵ = 11011177557781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011211112233) 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, 47056457628 + ... + 47056457861.

It is an arithmetic number, because the mean of its divisors is an integer number (1427379218265).

Almost surely, 2^{11011211112213} is an apocalyptic number.

11011211112213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11011211112213 is a deficient number, since it is larger than the sum of its proper divisors (6117339506967).

11011211112213 is a wasteful number, since it uses less digits than its factorization.

11011211112213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94112915508 (or 94112915505 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 11011211112213 its reverse (31221111211011), we get a palindrome (42232322323224).

The spelling of 11011211112213 in words is "eleven trillion, eleven billion, two hundred eleven million, one hundred twelve thousand, two hundred thirteen".