130111340400 has 180 divisors, whose sum is σ = 471154205808. Its totient is φ = 33187799040.

The previous prime is 130111340363. The next prime is 130111340449. The reversal of 130111340400 is 4043111031.

130111340400 is a `hidden beast` number, since 130 + 1 + 1 + 134 + 0 + 400 = 666.

130111340400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 702897 + ... + 868496.

Almost surely, 2^130111340400 is an apocalyptic number.

130111340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130111340400 is an abundant number, since it is smaller than the sum of its proper divisors (341042865408).

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

130111340400 is a wasteful number, since it uses less digits than its factorization.

130111340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571440 (or 1571426 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130111340400 its reverse (4043111031), we get a palindrome (134154451431).

The spelling of 130111340400 in words is "one hundred thirty billion, one hundred eleven million, three hundred forty thousand, four hundred".