13535001220 has 192 divisors, whose sum is σ = 32524208640. Its totient is φ = 4696473600.

The previous prime is 13535001209. The next prime is 13535001239. The reversal of 13535001220 is 2210053531.

It is a junction number, because it is equal to n+sod(n) for n = 13535001191 and 13535001200.

It is an unprimeable number.

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, 70129444 + ... + 70129636.

It is an arithmetic number, because the mean of its divisors is an integer number (169396920).

Almost surely, 2^13535001220 is an apocalyptic number.

13535001220 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 13535001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262104320).

13535001220 is an abundant number, since it is smaller than the sum of its proper divisors (18989207420).

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

13535001220 is a wasteful number, since it uses less digits than its factorization.

13535001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 13535001220 its reverse (2210053531), we get a palindrome (15745054751).

The spelling of 13535001220 in words is "thirteen billion, five hundred thirty-five million, one thousand, two hundred twenty".