113331211322120 has 128 divisors (see below), whose sum is σ = 287177608396800. Its totient is φ = 39878123462400.

The previous prime is 113331211322057. The next prime is 113331211322123. The reversal of 113331211322120 is 21223112133311.

It is a super-3 number, since 3×113331211322120³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113331211322120.

It is not an unprimeable number, because it can be changed into a prime (113331211322123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 143631317 + ... + 144418203.

It is an arithmetic number, because the mean of its divisors is an integer number (2243575065600).

Almost surely, 2^{113331211322120} is an apocalyptic number.

113331211322120 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 113331211322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143588804198400).

113331211322120 is an abundant number, since it is smaller than the sum of its proper divisors (173846397074680).

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

113331211322120 is a wasteful number, since it uses less digits than its factorization.

113331211322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797499 (or 797495 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 113331211322120 its reverse (21223112133311), we get a palindrome (134554323455431).

The spelling of 113331211322120 in words is "one hundred thirteen trillion, three hundred thirty-one billion, two hundred eleven million, three hundred twenty-two thousand, one hundred twenty".