20130100334334 has 80 divisors (see below), whose sum is σ = 45466966752768. Its totient is φ = 6656398596288.

The previous prime is 20130100334327. The next prime is 20130100334413. The reversal of 20130100334334 is 43343300103102.

20130100334334 is a `hidden beast` number, since 20 + 1 + 301 + 0 + 0 + 3 + 3 + 4 + 334 = 666.

It is a super-3 number, since 3×20130100334334³ (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20130100334298 and 20130100334307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185379184 + ... + 185487740.

Almost surely, 2^{20130100334334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130100334334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22733483376384).

20130100334334 is an abundant number, since it is smaller than the sum of its proper divisors (25336866418434).

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

20130100334334 is a wasteful number, since it uses less digits than its factorization.

20130100334334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117711 (or 117702 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20130100334334 its reverse (43343300103102), we get a palindrome (63473400437436).

The spelling of 20130100334334 in words is "twenty trillion, one hundred thirty billion, one hundred million, three hundred thirty-four thousand, three hundred thirty-four".