130014111744 has 768 divisors, whose sum is σ = 443675232000. Its totient is φ = 37265080320.

The previous prime is 130014111739. The next prime is 130014111751. The reversal of 130014111744 is 447111410031.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1192789962 + ... + 1192790070.

It is an arithmetic number, because the mean of its divisors is an integer number (577702125).

Almost surely, 2^130014111744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130014111744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221837616000).

130014111744 is an abundant number, since it is smaller than the sum of its proper divisors (313661120256).

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

130014111744 is a wasteful number, since it uses less digits than its factorization.

130014111744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 130014111744 its reverse (447111410031), we get a palindrome (577125521775).

The spelling of 130014111744 in words is "one hundred thirty billion, fourteen million, one hundred eleven thousand, seven hundred forty-four".