11101101321310 has 192 divisors, whose sum is σ = 27653729080320. Its totient is φ = 3153492276480.

The previous prime is 11101101321307. The next prime is 11101101321367. The reversal of 11101101321310 is 1312310110111.

11101101321310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11101101321310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4532817 + ... + 6538243.

It is an arithmetic number, because the mean of its divisors is an integer number (144029838960).

Almost surely, 2^{11101101321310} is an apocalyptic number.

11101101321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11101101321310 is an abundant number, since it is smaller than the sum of its proper divisors (16552627759010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101101321310 is a wasteful number, since it uses less digits than its factorization.

11101101321310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005551 (or 2005544 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11101101321310 its reverse (1312310110111), we get a palindrome (12413411431421).

It can be divided in two parts, 11101101 and 321310, that added together give a palindrome (11422411).

The spelling of 11101101321310 in words is "eleven trillion, one hundred one billion, one hundred one million, three hundred twenty-one thousand, three hundred ten".