11310101121 has 64 divisors (see below), whose sum is σ = 17444044800. Its totient is φ = 6451410240.

The previous prime is 11310101113. The next prime is 11310101137. The reversal of 11310101121 is 12110101311.

It is not a de Polignac number, because 11310101121 - 2³ = 11310101113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11310101097 and 11310101106.

It is not an unprimeable number, because it can be changed into a prime (11310101191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15556860 + ... + 15557586.

It is an arithmetic number, because the mean of its divisors is an integer number (272563200).

Almost surely, 2^11310101121 is an apocalyptic number.

11310101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11310101121 is a deficient number, since it is larger than the sum of its proper divisors (6133943679).

11310101121 is a wasteful number, since it uses less digits than its factorization.

11310101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11310101121 its reverse (12110101311), we get a palindrome (23420202432).

The spelling of 11310101121 in words is "eleven billion, three hundred ten million, one hundred one thousand, one hundred twenty-one".