130443300040032 has 96 divisors (see below), whose sum is σ = 434811000153600. Its totient is φ = 37269514295424.

The previous prime is 130443300040019. The next prime is 130443300040061. The reversal of 130443300040032 is 230040003344031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×130443300040032² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130443300039978 and 130443300040005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10783996932 + ... + 10784009027.

It is an arithmetic number, because the mean of its divisors is an integer number (4529281251600).

Almost surely, 2^{130443300040032} is an apocalyptic number.

130443300040032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130443300040032 is an abundant number, since it is smaller than the sum of its proper divisors (304367700113568).

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

130443300040032 is a wasteful number, since it uses less digits than its factorization.

130443300040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21568005985 (or 21568005971 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 130443300040032 its reverse (230040003344031), we get a palindrome (360483303384063).

The spelling of 130443300040032 in words is "one hundred thirty trillion, four hundred forty-three billion, three hundred million, forty thousand, thirty-two".