130301310213100 has 108 divisors (see below), whose sum is σ = 306743206813680. Its totient is φ = 48022319404800.

The previous prime is 130301310213097. The next prime is 130301310213101. The reversal of 130301310213100 is 1312013103031.

It is a super-2 number, since 2×130301310213100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130301310213101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2017081 + ... + 16268719.

Almost surely, 2^{130301310213100} is an apocalyptic number.

130301310213100 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 130301310213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153371603406840).

130301310213100 is an abundant number, since it is smaller than the sum of its proper divisors (176441896600580).

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

130301310213100 is a wasteful number, since it uses less digits than its factorization.

130301310213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14252220 (or 14252200 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 130301310213100 its reverse (1312013103031), we get a palindrome (131613323316131).

The spelling of 130301310213100 in words is "one hundred thirty trillion, three hundred one billion, three hundred ten million, two hundred thirteen thousand, one hundred".