2131100133100 has 72 divisors (see below), whose sum is σ = 4873992575760. Its totient is φ = 806560945920.

The previous prime is 2131100133079. The next prime is 2131100133109. The reversal of 2131100133100 is 13310011312.

It is a super-2 number, since 2×2131100133100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131100133109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810642 + ... + 2217958.

It is an arithmetic number, because the mean of its divisors is an integer number (67694341330).

Almost surely, 2^{2131100133100} is an apocalyptic number.

2131100133100 is a gapful number since it is divisible by the number (20) 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 2131100133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436996287880).

2131100133100 is an abundant number, since it is smaller than the sum of its proper divisors (2742892442660).

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

2131100133100 is a wasteful number, since it uses less digits than its factorization.

2131100133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408147 (or 1408140 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2131100133100 its reverse (13310011312), we get a palindrome (2144410144412).

The spelling of 2131100133100 in words is "two trillion, one hundred thirty-one billion, one hundred million, one hundred thirty-three thousand, one hundred".