13220183340 has 720 divisors, whose sum is σ = 54310398912. Its totient is φ = 2663248896.

The previous prime is 13220183321. The next prime is 13220183341. The reversal of 13220183340 is 4338102231.

13220183340 is a `hidden beast` number, since 1 + 322 + 0 + 1 + 8 + 334 + 0 = 666.

It is a super-3 number, since 3×13220183340³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13220183341) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23734342 + ... + 23734898.

Almost surely, 2^13220183340 is an apocalyptic number.

13220183340 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 13220183340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27155199456).

13220183340 is an abundant number, since it is smaller than the sum of its proper divisors (41090215572).

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

13220183340 is a wasteful number, since it uses less digits than its factorization.

13220183340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13220183340 its reverse (4338102231), we get a palindrome (17558285571).

The spelling of 13220183340 in words is "thirteen billion, two hundred twenty million, one hundred eighty-three thousand, three hundred forty".