130100133440 has 56 divisors (see below), whose sum is σ = 309843205560. Its totient is φ = 52032954368.

The previous prime is 130100133439. The next prime is 130100133461. The reversal of 130100133440 is 44331001031.

It can be written as a sum of positive squares in 4 ways, for example, as 1529122816 + 128571010624 = 39104^2 + 358568^2 .

It is a super-2 number, since 2×130100133440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2758376 + ... + 2805144.

It is an arithmetic number, because the mean of its divisors is an integer number (5532914385).

Almost surely, 2^130100133440 is an apocalyptic number.

130100133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130100133440 is an abundant number, since it is smaller than the sum of its proper divisors (179743072120).

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

130100133440 is an equidigital number, since it uses as much as digits as its factorization.

130100133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55479 (or 55469 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130100133440 its reverse (44331001031), we get a palindrome (174431134471).

The spelling of 130100133440 in words is "one hundred thirty billion, one hundred million, one hundred thirty-three thousand, four hundred forty".