220413130000 has 400 divisors, whose sum is σ = 635498075520. Its totient is φ = 72460800000.

The previous prime is 220413129991. The next prime is 220413130009. The reversal of 220413130000 is 31314022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220413129991) and next prime (220413130009).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220413130009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175069371 + ... + 175070629.

Almost surely, 2^220413130000 is an apocalyptic number.

220413130000 is a gapful number since it is divisible by the number (20) 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 220413130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317749037760).

220413130000 is an abundant number, since it is smaller than the sum of its proper divisors (415084945520).

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

220413130000 is a wasteful number, since it uses less digits than its factorization.

220413130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220413130000 its reverse (31314022), we get a palindrome (220444444022).

The spelling of 220413130000 in words is "two hundred twenty billion, four hundred thirteen million, one hundred thirty thousand".