113311322233020 has 384 divisors, whose sum is σ = 383848344633600. Its totient is φ = 27634254741504.

The previous prime is 113311322232991. The next prime is 113311322233049. The reversal of 113311322233020 is 20332223113311.

113311322233020 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 1 + 322 + 2 + 330 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113311322232991) and next prime (113311322233049).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 260981634 + ... + 261415446.

It is an arithmetic number, because the mean of its divisors is an integer number (999605064150).

Almost surely, 2^{113311322233020} is an apocalyptic number.

113311322233020 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 113311322233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191924172316800).

113311322233020 is an abundant number, since it is smaller than the sum of its proper divisors (270537022400580).

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

113311322233020 is a wasteful number, since it uses less digits than its factorization.

113311322233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434654 (or 434646 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113311322233020 its reverse (20332223113311), we get a palindrome (133643545346331).

The spelling of 113311322233020 in words is "one hundred thirteen trillion, three hundred eleven billion, three hundred twenty-two million, two hundred thirty-three thousand, twenty".