211003130311220 has 96 divisors (see below), whose sum is σ = 485339422851360. Its totient is φ = 76580317992960.

The previous prime is 211003130311187. The next prime is 211003130311249. The reversal of 211003130311220 is 22113031300112.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 131442510366244 + 79560619944976 = 11464838^2 + 8919676^2 .

It is a super-2 number, since 2×211003130311220² (a number of 29 digits) contains 22 as substring.

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 = 211003130311192 and 211003130311201.

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, 19223486 + ... + 28134474.

It is an arithmetic number, because the mean of its divisors is an integer number (5055618988035).

Almost surely, 2^{211003130311220} is an apocalyptic number.

211003130311220 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 211003130311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242669711425680).

211003130311220 is an abundant number, since it is smaller than the sum of its proper divisors (274336292540140).

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

211003130311220 is a wasteful number, since it uses less digits than its factorization.

211003130311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912565 (or 8912563 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211003130311220 its reverse (22113031300112), we get a palindrome (233116161611332).

The spelling of 211003130311220 in words is "two hundred eleven trillion, three billion, one hundred thirty million, three hundred eleven thousand, two hundred twenty".