13170087700 has 324 divisors, whose sum is σ = 37080035580. Its totient is φ = 4044902400.

The previous prime is 13170087673. The next prime is 13170087701. The reversal of 13170087700 is 778007131.

It can be written as a sum of positive squares in 6 ways, for example, as 112911876 + 13057175824 = 10626^2 + 114268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13170087701) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 57511186 + ... + 57511414.

Almost surely, 2^13170087700 is an apocalyptic number.

13170087700 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 13170087700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540017790).

13170087700 is an abundant number, since it is smaller than the sum of its proper divisors (23909947880).

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

13170087700 is a wasteful number, since it uses less digits than its factorization.

13170087700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 34.

The spelling of 13170087700 in words is "thirteen billion, one hundred seventy million, eighty-seven thousand, seven hundred".