13481532100 has 81 divisors (see below), whose sum is σ = 31122598087. Its totient is φ = 5067969280.

The previous prime is 13481532073. The next prime is 13481532109. The reversal of 13481532100 is 123518431.

It is a happy number.

The square root of 13481532100 is 116110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 315346564 + 13166185536 = 17758^2 + 114744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13481532109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19738359 + ... + 19739041.

Almost surely, 2^13481532100 is an apocalyptic number.

13481532100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13481532100 is the 116110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13481532100

13481532100 is an abundant number, since it is smaller than the sum of its proper divisors (17641065987).

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

13481532100 is an equidigital number, since it uses as much as digits as its factorization.

13481532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 13481532100 in words is "thirteen billion, four hundred eighty-one million, five hundred thirty-two thousand, one hundred".