13023509616100 has 81 divisors (see below), whose sum is σ = 28356642758577. Its totient is φ = 5191836159360.

The previous prime is 13023509616083. The next prime is 13023509616109. The reversal of 13023509616100 is 161690532031.

It is a happy number.

The square root of 13023509616100 is 3608810.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9225033351076 + 3798476265024 = 3037274^2 + 1948968^2 .

It is a super-3 number, since 3×13023509616100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13023509616100.

It is not an unprimeable number, because it can be changed into a prime (13023509616109) 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, 18368842546 + ... + 18368843254.

Almost surely, 2^{13023509616100} is an apocalyptic number.

13023509616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13023509616100 is the 3608810-th square number.

It is an amenable number.

13023509616100 is an abundant number, since it is smaller than the sum of its proper divisors (15333133142477).

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

13023509616100 is an frugal number, since it uses more digits than its factorization.

13023509616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 13023509616100 in words is "thirteen trillion, twenty-three billion, five hundred nine million, six hundred sixteen thousand, one hundred".