21317631170000 has 600 divisors, whose sum is σ = 58887352921320. Its totient is φ = 7459020800000.

The previous prime is 21317631169993. The next prime is 21317631170027. The reversal of 21317631170000 is 7113671312.

It can be written as a sum of positive squares in 20 ways, for example, as 20490397263424 + 827233906576 = 4526632^2 + 909524^2 .

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 119 ways as a sum of consecutive naturals, for example, 12386769140 + ... + 12386770860.

Almost surely, 2^{21317631170000} is an apocalyptic number.

21317631170000 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 21317631170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443676460660).

21317631170000 is an abundant number, since it is smaller than the sum of its proper divisors (37569721751320).

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

21317631170000 is a wasteful number, since it uses less digits than its factorization.

21317631170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 21317631170000 in words is "twenty-one trillion, three hundred seventeen billion, six hundred thirty-one million, one hundred seventy thousand".