113031324224 has 224 divisors, whose sum is σ = 285554196480. Its totient is φ = 43202045952.

The previous prime is 113031324209. The next prime is 113031324253. The reversal of 113031324224 is 422423130311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 113031324193 and 113031324202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21621899 + ... + 21627125.

It is an arithmetic number, because the mean of its divisors is an integer number (1274795520).

Almost surely, 2^113031324224 is an apocalyptic number.

113031324224 is a gapful number since it is divisible by the number (14) 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 113031324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142777098240).

113031324224 is an abundant number, since it is smaller than the sum of its proper divisors (172522872256).

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

113031324224 is a wasteful number, since it uses less digits than its factorization.

113031324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 113031324224 its reverse (422423130311), we get a palindrome (535454454535).

The spelling of 113031324224 in words is "one hundred thirteen billion, thirty-one million, three hundred twenty-four thousand, two hundred twenty-four".