11310311120 has 20 divisors (see below), whose sum is σ = 26296473540. Its totient is φ = 4524124416.

The previous prime is 11310311101. The next prime is 11310311149. The reversal of 11310311120 is 2111301311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2771811904 + 8538499216 = 52648^2 + 92404^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11310311095 and 11310311104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70689365 + ... + 70689524.

It is an arithmetic number, because the mean of its divisors is an integer number (1314823677).

Almost surely, 2^11310311120 is an apocalyptic number.

11310311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310311120 is an abundant number, since it is smaller than the sum of its proper divisors (14986162420).

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

11310311120 is a wasteful number, since it uses less digits than its factorization.

11310311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141378902 (or 141378896 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11310311120 its reverse (2111301311), we get a palindrome (13421612431).

The spelling of 11310311120 in words is "eleven billion, three hundred ten million, three hundred eleven thousand, one hundred twenty".