130334031201300 has 144 divisors (see below), whose sum is σ = 402537960921600. Its totient is φ = 32462738582400.

The previous prime is 130334031201289. The next prime is 130334031201307. The reversal of 130334031201300 is 3102130433031.

It is a happy number.

It is a super-2 number, since 2×130334031201300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130334031201307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 160620790 + ... + 161430189.

It is an arithmetic number, because the mean of its divisors is an integer number (2795402506400).

Almost surely, 2^{130334031201300} is an apocalyptic number.

130334031201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130334031201300 is an abundant number, since it is smaller than the sum of its proper divisors (272203929720300).

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

130334031201300 is a wasteful number, since it uses less digits than its factorization.

130334031201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322051086 (or 322051079 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130334031201300 its reverse (3102130433031), we get a palindrome (133436161634331).

The spelling of 130334031201300 in words is "one hundred thirty trillion, three hundred thirty-four billion, thirty-one million, two hundred one thousand, three hundred".