11101133121013 has 8 divisors (see below), whose sum is σ = 11975226760728. Its totient is φ = 10229919527424.

The previous prime is 11101133120971. The next prime is 11101133121037. The reversal of 11101133121013 is 31012133110111.

11101133121013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3614249649924 + 7486883471089 = 1901118^2 + 2736217^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11101133121013 - 2⁹ = 11101133120501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101133191013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720003520 + ... + 720018937.

It is an arithmetic number, because the mean of its divisors is an integer number (1496903345091).

Almost surely, 2^{11101133121013} is an apocalyptic number.

11101133121013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11101133121013 is a deficient number, since it is larger than the sum of its proper divisors (874093639715).

11101133121013 is a wasteful number, since it uses less digits than its factorization.

11101133121013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440023063.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 11101133121013 its reverse (31012133110111), we get a palindrome (42113266231124).

The spelling of 11101133121013 in words is "eleven trillion, one hundred one billion, one hundred thirty-three million, one hundred twenty-one thousand, thirteen".