21131360006424 has 128 divisors (see below), whose sum is σ = 56309686272000. Its totient is φ = 6592833847424.

The previous prime is 21131360006423. The next prime is 21131360006473. The reversal of 21131360006424 is 42460006313112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131360006423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130650997 + ... + 130812635.

It is an arithmetic number, because the mean of its divisors is an integer number (439919424000).

Almost surely, 2^{21131360006424} is an apocalyptic number.

21131360006424 is a gapful number since it is divisible by the number (24) 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 21131360006424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28154843136000).

21131360006424 is an abundant number, since it is smaller than the sum of its proper divisors (35178326265576).

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

21131360006424 is a wasteful number, since it uses less digits than its factorization.

21131360006424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166757 (or 166753 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 21131360006424 its reverse (42460006313112), we get a palindrome (63591366319536).

The spelling of 21131360006424 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred sixty million, six thousand, four hundred twenty-four".