130110330101400 has 1728 divisors, whose sum is σ = 519073108444800. Its totient is φ = 28868120064000.

The previous prime is 130110330101399. The next prime is 130110330101461. The reversal of 130110330101400 is 4101033011031.

130110330101400 is a `hidden beast` number, since 1 + 30 + 1 + 103 + 30 + 101 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 248776921539 + ... + 248776922061.

It is an arithmetic number, because the mean of its divisors is an integer number (300389530350).

Almost surely, 2^{130110330101400} is an apocalyptic number.

130110330101400 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 130110330101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259536554222400).

130110330101400 is an abundant number, since it is smaller than the sum of its proper divisors (388962778343400).

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

130110330101400 is a wasteful number, since it uses less digits than its factorization.

130110330101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130110330101400 its reverse (4101033011031), we get a palindrome (134211363112431).

The spelling of 130110330101400 in words is "one hundred thirty trillion, one hundred ten billion, three hundred thirty million, one hundred one thousand, four hundred".