13133448480100 has 243 divisors, whose sum is σ = 31443502617891. Its totient is φ = 4759339852800.

The previous prime is 13133448480077. The next prime is 13133448480101. The reversal of 13133448480100 is 108484433131.

The square root of 13133448480100 is 3624010.

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

It can be written as a sum of positive squares in 40 ways, for example, as 7323767412516 + 5809681067584 = 2706246^2 + 2410328^2 .

It is not an unprimeable number, because it can be changed into a prime (13133448480101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28738399072 + ... + 28738399528.

Almost surely, 2^{13133448480100} is an apocalyptic number.

13133448480100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13133448480100 is the 3624010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133448480100

13133448480100 is an abundant number, since it is smaller than the sum of its proper divisors (18310054137791).

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

13133448480100 is an equidigital number, since it uses as much as digits as its factorization.

13133448480100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 13133448480100 in words is "thirteen trillion, one hundred thirty-three billion, four hundred forty-eight million, four hundred eighty thousand, one hundred".