20131441100334 has 64 divisors (see below), whose sum is σ = 45470948424000. Its totient is φ = 6600811378176.

The previous prime is 20131441100317. The next prime is 20131441100341. The reversal of 20131441100334 is 43300114413102.

20131441100334 is a `hidden beast` number, since 2 + 0 + 1 + 314 + 4 + 1 + 10 + 0 + 334 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20131441100298 and 20131441100307.

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 31 ways as a sum of consecutive naturals, for example, 5375359 + ... + 8316090.

It is an arithmetic number, because the mean of its divisors is an integer number (710483569125).

Almost surely, 2^{20131441100334} is an apocalyptic number.

20131441100334 is an abundant number, since it is smaller than the sum of its proper divisors (25339507323666).

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

20131441100334 is a wasteful number, since it uses less digits than its factorization.

20131441100334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13691906 (or 13691900 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20131441100334 its reverse (43300114413102), we get a palindrome (63431555513436).

The spelling of 20131441100334 in words is "twenty trillion, one hundred thirty-one billion, four hundred forty-one million, one hundred thousand, three hundred thirty-four".