130313310000 has 200 divisors, whose sum is σ = 421085459520. Its totient is φ = 34715808000.

The previous prime is 130313309983. The next prime is 130313310011. The reversal of 130313310000 is 13313031.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×130313310000² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 48568659 + ... + 48571341.

Almost surely, 2^130313310000 is an apocalyptic number.

130313310000 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 130313310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210542729760).

130313310000 is an abundant number, since it is smaller than the sum of its proper divisors (290772149520).

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

130313310000 is a wasteful number, since it uses less digits than its factorization.

130313310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 130313310000 its reverse (13313031), we get a palindrome (130326623031).

The spelling of 130313310000 in words is "one hundred thirty billion, three hundred thirteen million, three hundred ten thousand".