13010123330000 has 50 divisors (see below), whose sum is σ = 31498809618474. Its totient is φ = 5204049328000.

The previous prime is 13010123329981. The next prime is 13010123330003. The reversal of 13010123330000 is 3332101031.

It can be written as a sum of positive squares in 5 ways, for example, as 7045372193344 + 5964751136656 = 2654312^2 + 2442284^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010123330003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 650496167 + ... + 650516166.

Almost surely, 2^{13010123330000} is an apocalyptic number.

13010123330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010123330000 is an abundant number, since it is smaller than the sum of its proper divisors (18488686288474).

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

13010123330000 is an equidigital number, since it uses as much as digits as its factorization.

13010123330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301012361 (or 1301012340 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13010123330000 its reverse (3332101031), we get a palindrome (13013455431031).

The spelling of 13010123330000 in words is "thirteen trillion, ten billion, one hundred twenty-three million, three hundred thirty thousand".