113121123213312 has 336 divisors, whose sum is σ = 337569193328640. Its totient is φ = 36463244083200.

The previous prime is 113121123213289. The next prime is 113121123213341. The reversal of 113121123213312 is 213312321121311.

113121123213312 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 1 + 1 + 2 + 321 + 331 + 2 = 666.

It is a super-3 number, since 3×113121123213312³ (a number of 43 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156351489 + ... + 3156387327.

It is an arithmetic number, because the mean of its divisors is an integer number (1004670218240).

Almost surely, 2^{113121123213312} is an apocalyptic number.

113121123213312 is a gapful number since it is divisible by the number (12) 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 113121123213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168784596664320).

113121123213312 is an abundant number, since it is smaller than the sum of its proper divisors (224448070115328).

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

113121123213312 is a wasteful number, since it uses less digits than its factorization.

113121123213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37283 (or 37256 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 113121123213312 its reverse (213312321121311), we get a palindrome (326433444334623).

The spelling of 113121123213312 in words is "one hundred thirteen trillion, one hundred twenty-one billion, one hundred twenty-three million, two hundred thirteen thousand, three hundred twelve".