12953132110116 has 567 divisors, whose sum is σ = 38337560617377. Its totient is φ = 3824778165120.

The previous prime is 12953132110109. The next prime is 12953132110117. The reversal of 12953132110116 is 61101123135921.

The square root of 12953132110116 is 3599046.

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

12953132110116 is a `hidden beast` number, since 1 + 2 + 9 + 531 + 3 + 2 + 1 + 1 + 0 + 116 = 666.

12953132110116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7352828792100 + 5600303318016 = 2711610^2 + 2366496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12953132110117) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 156061832611 + ... + 156061832693.

Almost surely, 2^{12953132110116} is an apocalyptic number.

12953132110116 is the 3599046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12953132110116

12953132110116 is an abundant number, since it is smaller than the sum of its proper divisors (25384428507261).

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

12953132110116 is an frugal number, since it uses more digits than its factorization.

12953132110116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Multiplying 12953132110116 by its sum of digits (36), we get a square (466312755964176 = 21594276²).

12953132110116 divided by its sum of digits (36) gives a square (359809225281 = 599841²).

The spelling of 12953132110116 in words is "twelve trillion, nine hundred fifty-three billion, one hundred thirty-two million, one hundred ten thousand, one hundred sixteen".