113212213311000 has 256 divisors, whose sum is σ = 364822086021120. Its totient is φ = 29199571200000.

The previous prime is 113212213310971. The next prime is 113212213311037. The reversal of 113212213311000 is 113312212311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164918475 + ... + 165603525.

It is an arithmetic number, because the mean of its divisors is an integer number (1425086273520).

Almost surely, 2^{113212213311000} is an apocalyptic number.

113212213311000 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 113212213311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182411043010560).

113212213311000 is an abundant number, since it is smaller than the sum of its proper divisors (251609872710120).

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

113212213311000 is a wasteful number, since it uses less digits than its factorization.

113212213311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686883 (or 686869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 113212213311000 its reverse (113312212311), we get a palindrome (113325525523311).

The spelling of 113212213311000 in words is "one hundred thirteen trillion, two hundred twelve billion, two hundred thirteen million, three hundred eleven thousand".