13506436100 has 18 divisors (see below), whose sum is σ = 29308966554. Its totient is φ = 5402574400.

The previous prime is 13506436093. The next prime is 13506436103. The reversal of 13506436100 is 163460531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 190660864 + 13315775236 = 13808^2 + 115394^2 .

It is a super-2 number, since 2×13506436100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13506436103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67532081 + ... + 67532280.

Almost surely, 2^13506436100 is an apocalyptic number.

13506436100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13506436100 is an abundant number, since it is smaller than the sum of its proper divisors (15802530454).

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

13506436100 is a wasteful number, since it uses less digits than its factorization.

13506436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135064375 (or 135064368 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 13506436100 its reverse (163460531), we get a palindrome (13669896631).

The spelling of 13506436100 in words is "thirteen billion, five hundred six million, four hundred thirty-six thousand, one hundred".