130213030134400 has 192 divisors, whose sum is σ = 335668897422720. Its totient is φ = 49818187837440.

The previous prime is 130213030134361. The next prime is 130213030134401. The reversal of 130213030134400 is 4431030312031.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (130213030134401) 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 23 ways as a sum of consecutive naturals, for example, 2385569509 + ... + 2385624091.

It is an arithmetic number, because the mean of its divisors is an integer number (1748275507410).

Almost surely, 2^{130213030134400} is an apocalyptic number.

130213030134400 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 130213030134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167834448711360).

130213030134400 is an abundant number, since it is smaller than the sum of its proper divisors (205455867288320).

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

130213030134400 is a wasteful number, since it uses less digits than its factorization.

130213030134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87043 (or 87026 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 130213030134400 its reverse (4431030312031), we get a palindrome (134644060446431).

The spelling of 130213030134400 in words is "one hundred thirty trillion, two hundred thirteen billion, thirty million, one hundred thirty-four thousand, four hundred".