13131648 has 48 divisors (see below), whose sum is σ = 37791000. Its totient is φ = 4376832.

The previous prime is 13131623. The next prime is 13131649. The reversal of 13131648 is 84613131.

13131648 is a `hidden beast` number, since 1 + 3 + 13 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131649) 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, 4548 + ... + 6851.

Almost surely, 2^13131648 is an apocalyptic number.

13131648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13131648 is an abundant number, since it is smaller than the sum of its proper divisors (24659352).

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

13131648 is a wasteful number, since it uses less digits than its factorization.

13131648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11419 (or 11404 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 13131648 is about 3623.7615815613. The cubic root of 13131648 is about 235.9245186168.

Adding to 13131648 its product of digits (1728), we get a square (13133376 = 3624²).

Adding to 13131648 its reverse (84613131), we get a palindrome (97744779).

The spelling of 13131648 in words is "thirteen million, one hundred thirty-one thousand, six hundred forty-eight".