11213211330101 has 16 divisors (see below), whose sum is σ = 12273419456448. Its totient is φ = 10159863436800.

The previous prime is 11213211330071. The next prime is 11213211330121. The reversal of 11213211330101 is 10103311231211.

It is not a de Polignac number, because 11213211330101 - 2⁶ = 11213211330037 is a prime.

It is a super-2 number, since 2×11213211330101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213211330121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2605130 + ... + 5404916.

It is an arithmetic number, because the mean of its divisors is an integer number (767088716028).

Almost surely, 2^{11213211330101} is an apocalyptic number.

11213211330101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11213211330101 is a deficient number, since it is larger than the sum of its proper divisors (1060208126347).

11213211330101 is a wasteful number, since it uses less digits than its factorization.

11213211330101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801012.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 11213211330101 its reverse (10103311231211), we get a palindrome (21316522561312).

The spelling of 11213211330101 in words is "eleven trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirty thousand, one hundred one".