11311313310 has 128 divisors (see below), whose sum is σ = 33044267520. Its totient is φ = 2730585600.

The previous prime is 11311313309. The next prime is 11311313329. The reversal of 11311313310 is 1331311311.

11311313310 is a `hidden beast` number, since 11 + 31 + 1 + 313 + 310 = 666.

11311313310 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 2×11311313310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707869 + ... + 723671.

It is an arithmetic number, because the mean of its divisors is an integer number (258158340).

Almost surely, 2^11311313310 is an apocalyptic number.

11311313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522133760).

11311313310 is an abundant number, since it is smaller than the sum of its proper divisors (21732954210).

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

11311313310 is a wasteful number, since it uses less digits than its factorization.

11311313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16071 (or 16065 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11311313310 its reverse (1331311311), we get a palindrome (12642624621).

The spelling of 11311313310 in words is "eleven billion, three hundred eleven million, three hundred thirteen thousand, three hundred ten".