130310240100000 has 1152 divisors, whose sum is σ = 449484295163904. Its totient is φ = 33020198400000.

The previous prime is 130310240099999. The next prime is 130310240100011. The reversal of 130310240100000 is 1042013031.

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 191 ways as a sum of consecutive naturals, for example, 119441099455 + ... + 119441100545.

It is an arithmetic number, because the mean of its divisors is an integer number (390177339552).

Almost surely, 2^{130310240100000} is an apocalyptic number.

130310240100000 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 130310240100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224742147581952).

130310240100000 is an abundant number, since it is smaller than the sum of its proper divisors (319174055063904).

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

130310240100000 is a wasteful number, since it uses less digits than its factorization.

130310240100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1388 counting only the distinct ones).

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

Adding to 130310240100000 its reverse (1042013031), we get a palindrome (130311282113031).

The spelling of 130310240100000 in words is "one hundred thirty trillion, three hundred ten billion, two hundred forty million, one hundred thousand".