130011122020 has 96 divisors (see below), whose sum is σ = 313164684000. Its totient is φ = 45180076032.

The previous prime is 130011121997. The next prime is 130011122029. The reversal of 130011122020 is 20221110031.

It can be written as a sum of positive squares in 16 ways, for example, as 116618152036 + 13392969984 = 341494^2 + 115728^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (130011122029) 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, 659956 + ... + 834004.

It is an arithmetic number, because the mean of its divisors is an integer number (3262132125).

Almost surely, 2^130011122020 is an apocalyptic number.

130011122020 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 130011122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156582342000).

130011122020 is an abundant number, since it is smaller than the sum of its proper divisors (183153561980).

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

130011122020 is a wasteful number, since it uses less digits than its factorization.

130011122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174114 (or 174086 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 130011122020 its reverse (20221110031), we get a palindrome (150232232051).

The spelling of 130011122020 in words is "one hundred thirty billion, eleven million, one hundred twenty-two thousand, twenty".