10113311232 has 240 divisors, whose sum is σ = 31292015040. Its totient is φ = 3136167936.

The previous prime is 10113311231. The next prime is 10113311249. The reversal of 10113311232 is 23211331101.

10113311232 is a `hidden beast` number, since 10 + 113 + 311 + 232 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10113311231) 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 23 ways as a sum of consecutive naturals, for example, 3920119 + ... + 3922697.

It is an arithmetic number, because the mean of its divisors is an integer number (130383396).

Almost surely, 2^10113311232 is an apocalyptic number.

10113311232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646007520).

10113311232 is an abundant number, since it is smaller than the sum of its proper divisors (21178703808).

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

10113311232 is a wasteful number, since it uses less digits than its factorization.

10113311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10113311232 its reverse (23211331101), we get a palindrome (33324642333).

The spelling of 10113311232 in words is "ten billion, one hundred thirteen million, three hundred eleven thousand, two hundred thirty-two".