130111544640000 has 3200 divisors, whose sum is σ = 569738290987008. Its totient is φ = 25575137280000.

The previous prime is 130111544639983. The next prime is 130111544640017. The reversal of 130111544640000 is 46445111031.

It is an interprime number because it is at equal distance from previous prime (130111544639983) and next prime (130111544640017).

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 130111544640000.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 175116479629 + ... + 175116480371.

Almost surely, 2^{130111544640000} is an apocalyptic number.

130111544640000 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 130111544640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284869145493504).

130111544640000 is an abundant number, since it is smaller than the sum of its proper divisors (439626746347008).

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

130111544640000 is a wasteful number, since it uses less digits than its factorization.

130111544640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 130111544640000 its reverse (46445111031), we get a palindrome (130157989751031).

The spelling of 130111544640000 in words is "one hundred thirty trillion, one hundred eleven billion, five hundred forty-four million, six hundred forty thousand".