10311332220 has 288 divisors, whose sum is σ = 38175621120. Its totient is φ = 2201955840.

The previous prime is 10311332219. The next prime is 10311332233. The reversal of 10311332220 is 2223311301.

10311332220 is a `hidden beast` number, since 1 + 0 + 311 + 332 + 2 + 20 = 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 = 10311332193 and 10311332202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1128189 + ... + 1137291.

It is an arithmetic number, because the mean of its divisors is an integer number (132554240).

Almost surely, 2^10311332220 is an apocalyptic number.

10311332220 is a gapful number since it is divisible by the number (10) 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 10311332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19087810560).

10311332220 is an abundant number, since it is smaller than the sum of its proper divisors (27864288900).

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

10311332220 is a wasteful number, since it uses less digits than its factorization.

10311332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10311332220 its reverse (2223311301), we get a palindrome (12534643521).

The spelling of 10311332220 in words is "ten billion, three hundred eleven million, three hundred thirty-two thousand, two hundred twenty".