113328111780 has 288 divisors, whose sum is σ = 387400182624. Its totient is φ = 26629005312.

The previous prime is 113328111749. The next prime is 113328111803. The reversal of 113328111780 is 87111823311.

It can be written as a sum of positive squares in 16 ways, for example, as 234457344 + 113093654436 = 15312^2 + 336294^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4576392 + ... + 4601088.

It is an arithmetic number, because the mean of its divisors is an integer number (1345139523).

Almost surely, 2^113328111780 is an apocalyptic number.

113328111780 is a gapful number since it is divisible by the number (10) 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 113328111780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193700091312).

113328111780 is an abundant number, since it is smaller than the sum of its proper divisors (274072070844).

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

113328111780 is a wasteful number, since it uses less digits than its factorization.

113328111780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24815 (or 24810 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 113328111780 in words is "one hundred thirteen billion, three hundred twenty-eight million, one hundred eleven thousand, seven hundred eighty".