130413320231424 has 320 divisors, whose sum is σ = 363469096488960. Its totient is φ = 41474034483200.

The previous prime is 130413320231399. The next prime is 130413320231461. The reversal of 130413320231424 is 424132023314031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46262261887 + ... + 46262264705.

It is an arithmetic number, because the mean of its divisors is an integer number (1135840926528).

Almost surely, 2^{130413320231424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130413320231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181734548244480).

130413320231424 is an abundant number, since it is smaller than the sum of its proper divisors (233055776257536).

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

130413320231424 is a wasteful number, since it uses less digits than its factorization.

130413320231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 130413320231424 its reverse (424132023314031), we get a palindrome (554545343545455).

The spelling of 130413320231424 in words is "one hundred thirty trillion, four hundred thirteen billion, three hundred twenty million, two hundred thirty-one thousand, four hundred twenty-four".