11101013211321 has 24 divisors (see below), whose sum is σ = 17738878996800. Its totient is φ = 6633127821600.

The previous prime is 11101013211289. The next prime is 11101013211341. The reversal of 11101013211321 is 12311231010111.

11101013211321 is a `hidden beast` number, since 1 + 1 + 10 + 10 + 1 + 321 + 1 + 321 = 666.

It is not a de Polignac number, because 11101013211321 - 2⁵ = 11101013211289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11101013211294 and 11101013211303.

It is not an unprimeable number, because it can be changed into a prime (11101013211341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789651046 + ... + 789665103.

It is an arithmetic number, because the mean of its divisors is an integer number (739119958200).

Almost surely, 2^{11101013211321} is an apocalyptic number.

11101013211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101013211321 is a deficient number, since it is larger than the sum of its proper divisors (6637865785479).

11101013211321 is a wasteful number, since it uses less digits than its factorization.

11101013211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579316237 (or 1579316234 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11101013211321 its reverse (12311231010111), we get a palindrome (23412244221432).

It can be divided in two parts, 111010 and 13211321, that added together give a palindrome (13322331).

The spelling of 11101013211321 in words is "eleven trillion, one hundred one billion, thirteen million, two hundred eleven thousand, three hundred twenty-one".