13535504100 has 216 divisors, whose sum is σ = 43078159488. Its totient is φ = 3554496000.

The previous prime is 13535504093. The next prime is 13535504119. The reversal of 13535504100 is 140553531.

13535504100 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 550 + 4 + 100 = 666.

It is a super-2 number, since 2×13535504100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18617937 + ... + 18618663.

Almost surely, 2^13535504100 is an apocalyptic number.

13535504100 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 13535504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21539079744).

13535504100 is an abundant number, since it is smaller than the sum of its proper divisors (29542655388).

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

13535504100 is a wasteful number, since it uses less digits than its factorization.

13535504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13535504100 in words is "thirteen billion, five hundred thirty-five million, five hundred four thousand, one hundred".