21131012000 has 192 divisors, whose sum is σ = 60602121216. Its totient is φ = 7090329600.

The previous prime is 21131011999. The next prime is 21131012009. The reversal of 21131012000 is 21013112.

It is not an unprimeable number, because it can be changed into a prime (21131012009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307972 + ... + 1324028.

It is an arithmetic number, because the mean of its divisors is an integer number (315636048).

Almost surely, 2^21131012000 is an apocalyptic number.

21131012000 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 21131012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30301060608).

21131012000 is an abundant number, since it is smaller than the sum of its proper divisors (39471109216).

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

21131012000 is a wasteful number, since it uses less digits than its factorization.

21131012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21131012000 its reverse (21013112), we get a palindrome (21152025112).

The spelling of 21131012000 in words is "twenty-one billion, one hundred thirty-one million, twelve thousand".