13135000518900 has 288 divisors, whose sum is σ = 46022693109120. Its totient is φ = 3194275599360.

The previous prime is 13135000518889. The next prime is 13135000518923. The reversal of 13135000518900 is 981500053131.

13135000518900 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 50 + 0 + 0 + 518 + 90 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 658984 + ... + 5167616.

It is an arithmetic number, because the mean of its divisors is an integer number (159801017740).

Almost surely, 2^{13135000518900} is an apocalyptic number.

13135000518900 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 13135000518900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011346554560).

13135000518900 is an abundant number, since it is smaller than the sum of its proper divisors (32887692590220).

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

13135000518900 is a wasteful number, since it uses less digits than its factorization.

13135000518900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508752 (or 4508739 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 13135000518900 in words is "thirteen trillion, one hundred thirty-five billion, five hundred eighteen thousand, nine hundred".