2113333631136 has 960 divisors, whose sum is σ = 8160759839232. Its totient is φ = 520612282368.

The previous prime is 2113333631113. The next prime is 2113333631173. The reversal of 2113333631136 is 6311363333112.

2113333631136 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 3 + 3 + 631 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2113333631136.

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 159 ways as a sum of consecutive naturals, for example, 549343965 + ... + 549347811.

Almost surely, 2^{2113333631136} is an apocalyptic number.

2113333631136 is a gapful number since it is divisible by the number (26) 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 2113333631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080379919616).

2113333631136 is an abundant number, since it is smaller than the sum of its proper divisors (6047426208096).

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

2113333631136 is a wasteful number, since it uses less digits than its factorization.

2113333631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4026 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

Adding to 2113333631136 its reverse (6311363333112), we get a palindrome (8424696964248).

The spelling of 2113333631136 in words is "two trillion, one hundred thirteen billion, three hundred thirty-three million, six hundred thirty-one thousand, one hundred thirty-six".