11312311010 has 384 divisors, whose sum is σ = 30405715200. Its totient is φ = 2966906880.

The previous prime is 11312311009. The next prime is 11312311019. The reversal of 11312311010 is 1011321311.

It is a happy number.

It is a super-3 number, since 3×11312311010³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11312311019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38608424 + ... + 38608716.

It is an arithmetic number, because the mean of its divisors is an integer number (79181550).

Almost surely, 2^11312311010 is an apocalyptic number.

11312311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11312311010 is an abundant number, since it is smaller than the sum of its proper divisors (19093404190).

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

11312311010 is a wasteful number, since it uses less digits than its factorization.

11312311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 379 counting only the distinct ones).

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

Adding to 11312311010 its reverse (1011321311), we get a palindrome (12323632321).

The spelling of 11312311010 in words is "eleven billion, three hundred twelve million, three hundred eleven thousand, ten".