11133331101 has 48 divisors (see below), whose sum is σ = 17212169520. Its totient is φ = 6921600000.

The previous prime is 11133331091. The next prime is 11133331129. The reversal of 11133331101 is 10113333111.

It can be written as a sum of positive squares in 8 ways, for example, as 1083068100 + 10050263001 = 32910^2 + 100251^2 .

It is not a de Polignac number, because 11133331101 - 2⁹ = 11133330589 is a prime.

It is a super-2 number, since 2×11133331101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133331301) 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, 1075651 + ... + 1085951.

It is an arithmetic number, because the mean of its divisors is an integer number (358586865).

Almost surely, 2^11133331101 is an apocalyptic number.

It is an amenable number.

11133331101 is a deficient number, since it is larger than the sum of its proper divisors (6078838419).

11133331101 is a wasteful number, since it uses less digits than its factorization.

11133331101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10478 (or 10475 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11133331101 its reverse (10113333111), we get a palindrome (21246664212).

It can be divided in two parts, 1113333110 and 1, that added together give a palindrome (1113333111).

The spelling of 11133331101 in words is "eleven billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred one".