130311300213100 has 144 divisors (see below), whose sum is σ = 302227119976320. Its totient is φ = 48623802163200.

The previous prime is 130311300213049. The next prime is 130311300213131. The reversal of 130311300213100 is 1312003113031.

130311300213100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130311300213100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306708012 + ... + 307132588.

It is an arithmetic number, because the mean of its divisors is an integer number (2098799444280).

Almost surely, 2^{130311300213100} is an apocalyptic number.

130311300213100 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 130311300213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151113559988160).

130311300213100 is an abundant number, since it is smaller than the sum of its proper divisors (171915819763220).

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

130311300213100 is a wasteful number, since it uses less digits than its factorization.

130311300213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427088 (or 427081 counting only the distinct ones).

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

Adding to 130311300213100 its reverse (1312003113031), we get a palindrome (131623303326131).

The spelling of 130311300213100 in words is "one hundred thirty trillion, three hundred eleven billion, three hundred million, two hundred thirteen thousand, one hundred".