13012825094100 has 216 divisors, whose sum is σ = 44081843732472. Its totient is φ = 3191757004800.

The previous prime is 13012825094083. The next prime is 13012825094161. The reversal of 13012825094100 is 149052821031.

13012825094100 is a `hidden beast` number, since 1 + 30 + 1 + 2 + 82 + 509 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7065538139664 + 5947286954436 = 2658108^2 + 2438706^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1308684 + ... + 5266716.

Almost surely, 2^{13012825094100} is an apocalyptic number.

13012825094100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012825094100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22040921866236).

13012825094100 is an abundant number, since it is smaller than the sum of its proper divisors (31069018638372).

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

13012825094100 is a wasteful number, since it uses less digits than its factorization.

13012825094100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958347 (or 3958337 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13012825094100 in words is "thirteen trillion, twelve billion, eight hundred twenty-five million, ninety-four thousand, one hundred".