13335542000 has 160 divisors (see below), whose sum is σ = 35843580864. Its totient is φ = 4757376000.

The previous prime is 13335541997. The next prime is 13335542021. The reversal of 13335542000 is 24553331.

13335542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160282 + ... + 1171718.

Almost surely, 2^13335542000 is an apocalyptic number.

13335542000 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 13335542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921790432).

13335542000 is an abundant number, since it is smaller than the sum of its proper divisors (22508038864).

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

13335542000 is a wasteful number, since it uses less digits than its factorization.

13335542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The spelling of 13335542000 in words is "thirteen billion, three hundred thirty-five million, five hundred forty-two thousand".