21131000133100 has 288 divisors, whose sum is σ = 54447107162112. Its totient is φ = 7017148800000.

The previous prime is 21131000133091. The next prime is 21131000133119. The reversal of 21131000133100 is 133100013112.

It is a super-2 number, since 2×21131000133100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2089897045 + ... + 2089907155.

It is an arithmetic number, because the mean of its divisors is an integer number (189052455424).

Almost surely, 2^{21131000133100} is an apocalyptic number.

21131000133100 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 21131000133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27223553581056).

21131000133100 is an abundant number, since it is smaller than the sum of its proper divisors (33316107029012).

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

21131000133100 is a wasteful number, since it uses less digits than its factorization.

21131000133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11697 (or 11690 counting only the distinct ones).

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

Adding to 21131000133100 its reverse (133100013112), we get a palindrome (21264100146212).

The spelling of 21131000133100 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred thirty-three thousand, one hundred".