13353542220 has 192 divisors, whose sum is σ = 38720747520. Its totient is φ = 3437371392.

The previous prime is 13353542219. The next prime is 13353542221. The reversal of 13353542220 is 2224535331.

It is an interprime number because it is at equal distance from previous prime (13353542219) and next prime (13353542221).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13353542221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57311224 + ... + 57311456.

It is an arithmetic number, because the mean of its divisors is an integer number (201670560).

Almost surely, 2^13353542220 is an apocalyptic number.

13353542220 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 13353542220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19360373760).

13353542220 is an abundant number, since it is smaller than the sum of its proper divisors (25367205300).

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

13353542220 is a wasteful number, since it uses less digits than its factorization.

13353542220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 13353542220 in words is "thirteen billion, three hundred fifty-three million, five hundred forty-two thousand, two hundred twenty".