113332211333220 has 384 divisors, whose sum is σ = 376867826786304. Its totient is φ = 25134520320000.

The previous prime is 113332211333207. The next prime is 113332211333293. The reversal of 113332211333220 is 22333112233311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124210875 + ... + 125119965.

It is an arithmetic number, because the mean of its divisors is an integer number (981426632256).

Almost surely, 2^{113332211333220} is an apocalyptic number.

113332211333220 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 113332211333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188433913393152).

113332211333220 is an abundant number, since it is smaller than the sum of its proper divisors (263535615453084).

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

113332211333220 is a wasteful number, since it uses less digits than its factorization.

113332211333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909443 (or 909441 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 113332211333220 its reverse (22333112233311), we get a palindrome (135665323566531).

Subtracting from 113332211333220 its reverse (22333112233311), we obtain a palindrome (90999099099909).

The spelling of 113332211333220 in words is "one hundred thirteen trillion, three hundred thirty-two billion, two hundred eleven million, three hundred thirty-three thousand, two hundred twenty".