11513874104100 has 243 divisors, whose sum is σ = 38095421836563. Its totient is φ = 2908279572480.

The previous prime is 11513874104093. The next prime is 11513874104123. The reversal of 11513874104100 is 140147831511.

The square root of 11513874104100 is 3393210.

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

11513874104100 is a `hidden beast` number, since 1 + 1 + 5 + 138 + 7 + 410 + 4 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6334171501284 + 5179702602816 = 2516778^2 + 2275896^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1934126724 + ... + 1934132676.

Almost surely, 2^{11513874104100} is an apocalyptic number.

11513874104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11513874104100 is the 3393210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11513874104100

11513874104100 is an abundant number, since it is smaller than the sum of its proper divisors (26581547732463).

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

11513874104100 is an equidigital number, since it uses as much as digits as its factorization.

11513874104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Multiplying 11513874104100 by its sum of digits (36), we get a square (414499467747600 = 20359260²).

11513874104100 divided by its sum of digits (36) gives a square (319829836225 = 565535²).

The spelling of 11513874104100 in words is "eleven trillion, five hundred thirteen billion, eight hundred seventy-four million, one hundred four thousand, one hundred".