130141284001 has 9 divisors (see below), whose sum is σ = 132026060659. Its totient is φ = 128283055600.

The previous prime is 130141283981. The next prime is 130141284041. The reversal of 130141284001 is 100482141031.

The square root of 130141284001 is 360751.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17835869601 + 112305414400 = 133551^2 + 335120^2 .

It is not a de Polignac number, because 130141284001 - 2⁷ = 130141283873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130141284041) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 25610781 + ... + 25615861.

Almost surely, 2^130141284001 is an apocalyptic number.

130141284001 is the 360751-st square number.

130141284001 is the 180376-th centered octagonal number.

It is an amenable number.

130141284001 is a deficient number, since it is larger than the sum of its proper divisors (1884776658).

130141284001 is an frugal number, since it uses more digits than its factorization.

130141284001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Multiplying 130141284001 by its sum of digits (25), we get a square (3253532100025 = 1803755²).

The spelling of 130141284001 in words is "one hundred thirty billion, one hundred forty-one million, two hundred eighty-four thousand, one".