21013131002220 has 144 divisors (see below), whose sum is σ = 72872887127040. Its totient is φ = 4801196999808.

The previous prime is 21013131002207. The next prime is 21013131002239. The reversal of 21013131002220 is 2220013131012.

21013131002220 is a `hidden beast` number, since 2 + 1 + 0 + 131 + 310 + 0 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21013131002193 and 21013131002202.

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 47 ways as a sum of consecutive naturals, for example, 224121 + ... + 6486639.

It is an arithmetic number, because the mean of its divisors is an integer number (506061716160).

Almost surely, 2^{21013131002220} is an apocalyptic number.

21013131002220 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 21013131002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36436443563520).

21013131002220 is an abundant number, since it is smaller than the sum of its proper divisors (51859756124820).

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

21013131002220 is a wasteful number, since it uses less digits than its factorization.

21013131002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265204 (or 6265199 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21013131002220 its reverse (2220013131012), we get a palindrome (23233144133232).

The spelling of 21013131002220 in words is "twenty-one trillion, thirteen billion, one hundred thirty-one million, two thousand, two hundred twenty".