130513210100 has 216 divisors, whose sum is σ = 358069191480. Its totient is φ = 40924154880.

The previous prime is 130513210073. The next prime is 130513210111. The reversal of 130513210100 is 1012315031.

130513210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 24599412964 + 105913797136 = 156842^2 + 325444^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6933902 + ... + 6952698.

Almost surely, 2^130513210100 is an apocalyptic number.

130513210100 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 130513210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179034595740).

130513210100 is an abundant number, since it is smaller than the sum of its proper divisors (227555981380).

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

130513210100 is a wasteful number, since it uses less digits than its factorization.

130513210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18947 (or 18933 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 130513210100 its reverse (1012315031), we get a palindrome (131525525131).

The spelling of 130513210100 in words is "one hundred thirty billion, five hundred thirteen million, two hundred ten thousand, one hundred".