130010100020 has 24 divisors (see below), whose sum is σ = 273125646024. Its totient is φ = 51984147456.

The previous prime is 130010099993. The next prime is 130010100037. The reversal of 130010100020 is 20001010031.

It can be written as a sum of positive squares in 4 ways, for example, as 86894069284 + 43116030736 = 294778^2 + 207644^2 .

It is a super-2 number, since 2×130010100020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130010099980 and 130010100007.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1189637 + ... + 1294316.

It is an arithmetic number, because the mean of its divisors is an integer number (11380235251).

Almost surely, 2^130010100020 is an apocalyptic number.

130010100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130010100020 is an abundant number, since it is smaller than the sum of its proper divisors (143115546004).

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

130010100020 is a wasteful number, since it uses less digits than its factorization.

130010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486579 (or 2486577 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 130010100020 its reverse (20001010031), we get a palindrome (150011110051).

The spelling of 130010100020 in words is "one hundred thirty billion, ten million, one hundred thousand, twenty".