11300131296 has 72 divisors (see below), whose sum is σ = 32148154584. Its totient is φ = 3765139200.

The previous prime is 11300131259. The next prime is 11300131301. The reversal of 11300131296 is 69213100311.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 833371 + ... + 846821.

It is an arithmetic number, because the mean of its divisors is an integer number (446502147).

Almost surely, 2^11300131296 is an apocalyptic number.

11300131296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11300131296 is an abundant number, since it is smaller than the sum of its proper divisors (20848023288).

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

11300131296 is a wasteful number, since it uses less digits than its factorization.

11300131296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16384 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11300131296 in words is "eleven billion, three hundred million, one hundred thirty-one thousand, two hundred ninety-six".