21300313131020 has 144 divisors (see below), whose sum is σ = 56769053306112. Its totient is φ = 6638461925760.

The previous prime is 21300313131001. The next prime is 21300313131023. The reversal of 21300313131020 is 2013131300312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21300313130983 and 21300313131001.

It is not an unprimeable number, because it can be changed into a prime (21300313131023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128490227 + ... + 128655893.

It is an arithmetic number, because the mean of its divisors is an integer number (394229536848).

Almost surely, 2^{21300313131020} is an apocalyptic number.

21300313131020 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 21300313131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28384526653056).

21300313131020 is an abundant number, since it is smaller than the sum of its proper divisors (35468740175092).

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

21300313131020 is a wasteful number, since it uses less digits than its factorization.

21300313131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177628 (or 177619 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 21300313131020 its reverse (2013131300312), we get a palindrome (23313444431332).

The spelling of 21300313131020 in words is "twenty-one trillion, three hundred billion, three hundred thirteen million, one hundred thirty-one thousand, twenty".