113211120000000 has 2816 divisors, whose sum is σ = 452129967544320. Its totient is φ = 24883200000000.

The previous prime is 113211119999959. The next prime is 113211120000047. The reversal of 113211120000000 is 21112311.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1855919999970 + ... + 1855920000030.

Almost surely, 2^{113211120000000} is an apocalyptic number.

113211120000000 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 113211120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226064983772160).

113211120000000 is an abundant number, since it is smaller than the sum of its proper divisors (338918847544320).

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

113211120000000 is an frugal number, since it uses more digits than its factorization.

113211120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 113211120000000 its reverse (21112311), we get a palindrome (113211141112311).

The spelling of 113211120000000 in words is "one hundred thirteen trillion, two hundred eleven billion, one hundred twenty million", and thus it is an aban number.