113223220110000 has 2400 divisors, whose sum is σ = 546020467120128. Its totient is φ = 21129569280000.

The previous prime is 113223220109983. The next prime is 113223220110017. The reversal of 113223220110000 is 11022322311.

113223220110000 is a `hidden beast` number, since 1 + 132 + 232 + 201 + 100 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113223220109983) and next prime (113223220110017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3333313017 + ... + 3333346983.

Almost surely, 2^{113223220110000} is an apocalyptic number.

113223220110000 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 113223220110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273010233560064).

113223220110000 is an abundant number, since it is smaller than the sum of its proper divisors (432797247010128).

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

113223220110000 is a wasteful number, since it uses less digits than its factorization.

113223220110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34069 (or 34045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113223220110000 its reverse (11022322311), we get a palindrome (113234242432311).

The spelling of 113223220110000 in words is "one hundred thirteen trillion, two hundred twenty-three billion, two hundred twenty million, one hundred ten thousand".