130413240300 has 216 divisors, whose sum is σ = 439798892736. Its totient is φ = 29749991040.

The previous prime is 130413240283. The next prime is 130413240317. The reversal of 130413240300 is 3042314031.

It is an interprime number because it is at equal distance from previous prime (130413240283) and next prime (130413240317).

It is a super-2 number, since 2×130413240300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7679619 + ... + 7696581.

Almost surely, 2^130413240300 is an apocalyptic number.

130413240300 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 130413240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219899446368).

130413240300 is an abundant number, since it is smaller than the sum of its proper divisors (309385652436).

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

130413240300 is a wasteful number, since it uses less digits than its factorization.

130413240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17517 (or 17503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 130413240300 its reverse (3042314031), we get a palindrome (133455554331).

The spelling of 130413240300 in words is "one hundred thirty billion, four hundred thirteen million, two hundred forty thousand, three hundred".