11213133010101 has 48 divisors (see below), whose sum is σ = 18299893772160. Its totient is φ = 6553805247360.

The previous prime is 11213133010099. The next prime is 11213133010141. The reversal of 11213133010101 is 10101033131211.

11213133010101 is a `hidden beast` number, since 11 + 213 + 1 + 330 + 10 + 101 = 666.

11213133010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11213133010101 - 2¹ = 11213133010099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213133010141) 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, 159600 + ... + 4738326.

It is an arithmetic number, because the mean of its divisors is an integer number (381247786920).

Almost surely, 2^{11213133010101} is an apocalyptic number.

11213133010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11213133010101 is a deficient number, since it is larger than the sum of its proper divisors (7086760762059).

11213133010101 is a wasteful number, since it uses less digits than its factorization.

11213133010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579626 (or 4579623 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11213133010101 its reverse (10101033131211), we get a palindrome (21314166141312).

The spelling of 11213133010101 in words is "eleven trillion, two hundred thirteen billion, one hundred thirty-three million, ten thousand, one hundred one".