21121311130320 has 160 divisors (see below), whose sum is σ = 65651664274560. Its totient is φ = 5617257349120.

The previous prime is 21121311130319. The next prime is 21121311130411. The reversal of 21121311130320 is 2303111312112.

It is a super-2 number, since 2×21121311130320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211669240 + ... + 211769000.

It is an arithmetic number, because the mean of its divisors is an integer number (410322901716).

Almost surely, 2^{21121311130320} is an apocalyptic number.

21121311130320 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 21121311130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32825832137280).

21121311130320 is an abundant number, since it is smaller than the sum of its proper divisors (44530353144240).

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

21121311130320 is a wasteful number, since it uses less digits than its factorization.

21121311130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102133 (or 102127 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 21121311130320 its reverse (2303111312112), we get a palindrome (23424422442432).

The spelling of 21121311130320 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred eleven million, one hundred thirty thousand, three hundred twenty".