130213220020 has 96 divisors (see below), whose sum is σ = 300701163168. Its totient is φ = 47073042432.

The previous prime is 130213219991. The next prime is 130213220023. The reversal of 130213220020 is 20022312031.

It can be written as a sum of positive squares in 16 ways, for example, as 19321556004 + 110891664016 = 139002^2 + 333004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130213219976 and 130213220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130213220023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2575222 + ... + 2625298.

It is an arithmetic number, because the mean of its divisors is an integer number (3132303783).

Almost surely, 2^130213220020 is an apocalyptic number.

130213220020 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 130213220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150350581584).

130213220020 is an abundant number, since it is smaller than the sum of its proper divisors (170487943148).

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

130213220020 is a wasteful number, since it uses less digits than its factorization.

130213220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50309 (or 50307 counting only the distinct ones).

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

Adding to 130213220020 its reverse (20022312031), we get a palindrome (150235532051).

The spelling of 130213220020 in words is "one hundred thirty billion, two hundred thirteen million, two hundred twenty thousand, twenty".