13012233221000 has 128 divisors (see below), whose sum is σ = 32833941809760. Its totient is φ = 4798199808000.

The previous prime is 13012233220993. The next prime is 13012233221003. The reversal of 13012233221000 is 12233221031.

It can be written as a sum of positive squares in 16 ways, for example, as 2494548583396 + 10517684637604 = 1579414^2 + 3243098^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13012233221003) 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 31 ways as a sum of consecutive naturals, for example, 9235352 + ... + 10550648.

Almost surely, 2^{13012233221000} is an apocalyptic number.

13012233221000 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 13012233221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416970904880).

13012233221000 is an abundant number, since it is smaller than the sum of its proper divisors (19821708588760).

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

13012233221000 is a wasteful number, since it uses less digits than its factorization.

13012233221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316092 (or 1316078 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13012233221000 its reverse (12233221031), we get a palindrome (13024466442031).

The spelling of 13012233221000 in words is "thirteen trillion, twelve billion, two hundred thirty-three million, two hundred twenty-one thousand".