13022348870160 has 2160 divisors, whose sum is σ = 55331374565376. Its totient is φ = 2735471886336.

The previous prime is 13022348870137. The next prime is 13022348870161. The reversal of 13022348870160 is 6107884322031.

13022348870160 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 3 + 488 + 7 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13022348870161) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 102538180017 + ... + 102538180143.

Almost surely, 2^{13022348870160} is an apocalyptic number.

13022348870160 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 13022348870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27665687282688).

13022348870160 is an abundant number, since it is smaller than the sum of its proper divisors (42309025695216).

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

13022348870160 is a wasteful number, since it uses less digits than its factorization.

13022348870160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13022348870160 in words is "thirteen trillion, twenty-two billion, three hundred forty-eight million, eight hundred seventy thousand, one hundred sixty".