13190770248100 has 81 divisors (see below), whose sum is σ = 28798968920547. Its totient is φ = 5244245597760.

The previous prime is 13190770248079. The next prime is 13190770248107. The reversal of 13190770248100 is 184207709131.

The square root of 13190770248100 is 3631910.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3658780886436 + 9531989361664 = 1912794^2 + 3087392^2 .

It is a super-2 number, since 2×13190770248100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13190770248107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6501117886 + ... + 6501119914.

Almost surely, 2^{13190770248100} is an apocalyptic number.

13190770248100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13190770248100 is the 3631910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13190770248100

13190770248100 is an abundant number, since it is smaller than the sum of its proper divisors (15608198672447).

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

13190770248100 is an frugal number, since it uses more digits than its factorization.

13190770248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 13190770248100 in words is "thirteen trillion, one hundred ninety billion, seven hundred seventy million, two hundred forty-eight thousand, one hundred".