11301310111121 has 8 divisors (see below), whose sum is σ = 11966300199144. Its totient is φ = 10636343038720.

The previous prime is 11301310111079. The next prime is 11301310111127. The reversal of 11301310111121 is 12111101310311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4324902529600 + 6976407581521 = 2079640^2 + 2641289^2 .

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 11301310111121 - 2⁶ = 11301310111057 is a prime.

It is a super-2 number, since 2×11301310111121² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11301310111121.

It is not an unprimeable number, because it can be changed into a prime (11301310111127) 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, 4737830 + ... + 6711903.

It is an arithmetic number, because the mean of its divisors is an integer number (1495787524893).

Almost surely, 2^{11301310111121} is an apocalyptic number.

It is an amenable number.

11301310111121 is a deficient number, since it is larger than the sum of its proper divisors (664990088023).

11301310111121 is a wasteful number, since it uses less digits than its factorization.

11301310111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507811.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 11301310111121 its reverse (12111101310311), we get a palindrome (23412411421432).

The spelling of 11301310111121 in words is "eleven trillion, three hundred one billion, three hundred ten million, one hundred eleven thousand, one hundred twenty-one".