130314124421400 has 192 divisors, whose sum is σ = 407259026254080. Its totient is φ = 34468607347200.

The previous prime is 130314124421387. The next prime is 130314124421401. The reversal of 130314124421400 is 4124421413031.

It is a happy number.

It is a super-2 number, since 2×130314124421400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130314124421401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52576837 + ... + 54999563.

It is an arithmetic number, because the mean of its divisors is an integer number (2121140761740).

Almost surely, 2^{130314124421400} is an apocalyptic number.

130314124421400 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 130314124421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203629513127040).

130314124421400 is an abundant number, since it is smaller than the sum of its proper divisors (276944901832680).

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

130314124421400 is a wasteful number, since it uses less digits than its factorization.

130314124421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423474 (or 2423465 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 130314124421400 its reverse (4124421413031), we get a palindrome (134438545834431).

The spelling of 130314124421400 in words is "one hundred thirty trillion, three hundred fourteen billion, one hundred twenty-four million, four hundred twenty-one thousand, four hundred".