113213000000 has 98 divisors (see below), whose sum is σ = 280820194518. Its totient is φ = 45284800000.

The previous prime is 113212999997. The next prime is 113213000011. The reversal of 113213000000 is 312311.

It can be written as a sum of positive squares in 7 ways, for example, as 108209418304 + 5003581696 = 328952^2 + 70736^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 943394 + ... + 1056606.

Almost surely, 2^113213000000 is an apocalyptic number.

113213000000 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 113213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140410097259).

113213000000 is an abundant number, since it is smaller than the sum of its proper divisors (167607194518).

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

113213000000 is an frugal number, since it uses more digits than its factorization.

113213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113255 (or 113220 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 113213000000 its reverse (312311), we get a palindrome (113213312311).

The spelling of 113213000000 in words is "one hundred thirteen billion, two hundred thirteen million", and thus it is an aban number.