13248844306100 has 72 divisors (see below), whose sum is σ = 31003771699320. Its totient is φ = 4885206842880.

The previous prime is 13248844306099. The next prime is 13248844306123. The reversal of 13248844306100 is 160344884231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1407179572516 + 11841664733584 = 1186246^2 + 3441172^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5998955 + ... + 7904754.

Almost surely, 2^{13248844306100} is an apocalyptic number.

13248844306100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13248844306100 is an abundant number, since it is smaller than the sum of its proper divisors (17754927393220).

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

13248844306100 is a wasteful number, since it uses less digits than its factorization.

13248844306100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13904469 (or 13904462 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 13248844306100 in words is "thirteen trillion, two hundred forty-eight billion, eight hundred forty-four million, three hundred six thousand, one hundred".