21011001331000 has 96 divisors (see below), whose sum is σ = 51396326326800. Its totient is φ = 8038991611200.

The previous prime is 21011001330961. The next prime is 21011001331013. The reversal of 21011001331000 is 13310011012.

It is a super-2 number, since 2×21011001331000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19330170 + ... + 20388169.

Almost surely, 2^{21011001331000} is an apocalyptic number.

21011001331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011001331000 is an abundant number, since it is smaller than the sum of its proper divisors (30385324995800).

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

21011001331000 is a wasteful number, since it uses less digits than its factorization.

21011001331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39718406 (or 39718369 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 21011001331000 its reverse (13310011012), we get a palindrome (21024311342012).

The spelling of 21011001331000 in words is "twenty-one trillion, eleven billion, one million, three hundred thirty-one thousand".