13140212000 has 96 divisors (see below), whose sum is σ = 32454689904. Its totient is φ = 5228544000.

The previous prime is 13140211967. The next prime is 13140212021. The reversal of 13140212000 is 21204131.

13140212000 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 8 ways, for example, as 1568476816 + 11571735184 = 39604^2 + 107572^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763490 + ... + 780510.

Almost surely, 2^13140212000 is an apocalyptic number.

13140212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16227344952).

13140212000 is an abundant number, since it is smaller than the sum of its proper divisors (19314477904).

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

13140212000 is a wasteful number, since it uses less digits than its factorization.

13140212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17239 (or 17221 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13140212000 its reverse (21204131), we get a palindrome (13161416131).

The spelling of 13140212000 in words is "thirteen billion, one hundred forty million, two hundred twelve thousand".