12013210133010 has 160 divisors (see below), whose sum is σ = 32790981714480. Its totient is φ = 3155171346432.

The previous prime is 12013210132999. The next prime is 12013210133011. The reversal of 12013210133010 is 1033101231021.

12013210133010 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 321 + 0 + 1 + 330 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1460542343841 + 10552667789169 = 1208529^2 + 3248487^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12013210133011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41779894 + ... + 42066446.

Almost surely, 2^{12013210133010} is an apocalyptic number.

12013210133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013210133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395490857240).

12013210133010 is an abundant number, since it is smaller than the sum of its proper divisors (20777771581470).

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

12013210133010 is a wasteful number, since it uses less digits than its factorization.

12013210133010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287354 (or 287345 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12013210133010 its reverse (1033101231021), we get a palindrome (13046311364031).

The spelling of 12013210133010 in words is "twelve trillion, thirteen billion, two hundred ten million, one hundred thirty-three thousand, ten".