13093325140900 has 81 divisors (see below), whose sum is σ = 28906959133731. Its totient is φ = 5147722265280.

The previous prime is 13093325140859. The next prime is 13093325140927. The reversal of 13093325140900 is 904152339031.

It is a happy number.

The square root of 13093325140900 is 3618470.

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 2627530773156 + 10465794367744 = 1620966^2 + 3235088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2134894234 + ... + 2134900366.

Almost surely, 2^{13093325140900} is an apocalyptic number.

13093325140900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13093325140900 is the 3618470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13093325140900

13093325140900 is an abundant number, since it is smaller than the sum of its proper divisors (15813633992831).

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

13093325140900 is an frugal number, since it uses more digits than its factorization.

13093325140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

Adding to 13093325140900 its reverse (904152339031), we get a palindrome (13997477479931).

The spelling of 13093325140900 in words is "thirteen trillion, ninety-three billion, three hundred twenty-five million, one hundred forty thousand, nine hundred".