130413113010 has 96 divisors (see below), whose sum is σ = 348359002992. Its totient is φ = 33825185280.

The previous prime is 130413112987. The next prime is 130413113029. The reversal of 130413113010 is 10311314031.

130413113010 is a `hidden beast` number, since 13 + 0 + 41 + 311 + 301 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71047303209 + 59365809801 = 266547^2 + 243651^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13838100 + ... + 13847520.

Almost surely, 2^130413113010 is an apocalyptic number.

130413113010 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 130413113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174179501496).

130413113010 is an abundant number, since it is smaller than the sum of its proper divisors (217945889982).

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

130413113010 is a wasteful number, since it uses less digits than its factorization.

130413113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13628 (or 13625 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130413113010 its reverse (10311314031), we get a palindrome (140724427041).

The spelling of 130413113010 in words is "one hundred thirty billion, four hundred thirteen million, one hundred thirteen thousand, ten".