223010131113000 has 768 divisors, whose sum is σ = 943985356554240. Its totient is φ = 46131933888000.

The previous prime is 223010131112981. The next prime is 223010131113109. The reversal of 223010131113000 is 311131010322.

223010131113000 is a `hidden beast` number, since 2 + 230 + 1 + 0 + 131 + 1 + 1 + 300 + 0 = 666.

223010131113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 153817467 + ... + 155260533.

It is an arithmetic number, because the mean of its divisors is an integer number (1229147599680).

Almost surely, 2^{223010131113000} is an apocalyptic number.

223010131113000 is a gapful number since it is divisible by the number (20) 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 223010131113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471992678277120).

223010131113000 is an abundant number, since it is smaller than the sum of its proper divisors (720975225441240).

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

223010131113000 is a wasteful number, since it uses less digits than its factorization.

223010131113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443335 (or 1443318 counting only the distinct ones).

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

Adding to 223010131113000 its reverse (311131010322), we get a palindrome (223321262123322).

The spelling of 223010131113000 in words is "two hundred twenty-three trillion, ten billion, one hundred thirty-one million, one hundred thirteen thousand".