13020220302000 has 640 divisors, whose sum is σ = 44009248727808. Its totient is φ = 3308138496000.

The previous prime is 13020220301981. The next prime is 13020220302013. The reversal of 13020220302000 is 20302202031.

It is a super-2 number, since 2×13020220302000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11024741410 + ... + 11024742590.

Almost surely, 2^{13020220302000} is an apocalyptic number.

13020220302000 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 13020220302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22004624363904).

13020220302000 is an abundant number, since it is smaller than the sum of its proper divisors (30989028425808).

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

13020220302000 is a wasteful number, since it uses less digits than its factorization.

13020220302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13020220302000 its reverse (20302202031), we get a palindrome (13040522504031).

The spelling of 13020220302000 in words is "thirteen trillion, twenty billion, two hundred twenty million, three hundred two thousand".