130413013040310 has 256 divisors, whose sum is σ = 420270515159040. Its totient is φ = 25012466357760.

The previous prime is 130413013040279. The next prime is 130413013040377. The reversal of 130413013040310 is 13040310314031.

It is a super-2 number, since 2×130413013040310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 432851979 + ... + 433153161.

It is an arithmetic number, because the mean of its divisors is an integer number (1641681699840).

Almost surely, 2^{130413013040310} is an apocalyptic number.

130413013040310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130413013040310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210135257579520).

130413013040310 is an abundant number, since it is smaller than the sum of its proper divisors (289857502118730).

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

130413013040310 is a wasteful number, since it uses less digits than its factorization.

130413013040310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315643.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 130413013040310 its reverse (13040310314031), we get a palindrome (143453323354341).

The spelling of 130413013040310 in words is "one hundred thirty trillion, four hundred thirteen billion, thirteen million, forty thousand, three hundred ten".