13022210320002 has 160 divisors (see below), whose sum is σ = 31710329204400. Its totient is φ = 3970448616960.

The previous prime is 13022210319991. The next prime is 13022210320079. The reversal of 13022210320002 is 20002301222031.

13022210320002 is a `hidden beast` number, since 130 + 2 + 2 + 210 + 320 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 403950496041 + 12618259823961 = 635571^2 + 3552219^2 .

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 132057988 + ... + 132156560.

Almost surely, 2^{13022210320002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022210320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855164602200).

13022210320002 is an abundant number, since it is smaller than the sum of its proper divisors (18688118884398).

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

13022210320002 is a wasteful number, since it uses less digits than its factorization.

13022210320002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99170 (or 99161 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13022210320002 its reverse (20002301222031), we get a palindrome (33024511542033).

The spelling of 13022210320002 in words is "thirteen trillion, twenty-two billion, two hundred ten million, three hundred twenty thousand, two".