130413210000 has 400 divisors, whose sum is σ = 434078050560. Its totient is φ = 33707520000.

The previous prime is 130413209977. The next prime is 130413210089. The reversal of 130413210000 is 12314031.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 281669769 + ... + 281670231.

Almost surely, 2^130413210000 is an apocalyptic number.

130413210000 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 130413210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217039025280).

130413210000 is an abundant number, since it is smaller than the sum of its proper divisors (303664840560).

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

130413210000 is a wasteful number, since it uses less digits than its factorization.

130413210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130413210000 its reverse (12314031), we get a palindrome (130425524031).

The spelling of 130413210000 in words is "one hundred thirty billion, four hundred thirteen million, two hundred ten thousand".