130542073101001 has 3 divisors (see below), whose sum is σ = 130542084526503. Its totient is φ = 130542061675500.

The previous prime is 130542073100981. The next prime is 130542073101107. The reversal of 130542073101001 is 100101370245031.

The square root of 130542073101001 is 11425501.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 83147935865401 + 47394137235600 = 9118549^2 + 6884340^2 .

It is not a de Polignac number, because 130542073101001 - 2⁵ = 130542073100969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130542073141001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5712751 + ... + 17138251.

It is an arithmetic number, because the mean of its divisors is an integer number (43514028175501).

Almost surely, 2^{130542073101001} is an apocalyptic number.

130542073101001 is the 11425501-st square number.

130542073101001 is the 5712751-st centered octagonal number.

It is an amenable number.

130542073101001 is a deficient number, since it is larger than the sum of its proper divisors (11425502).

130542073101001 is an frugal number, since it uses more digits than its factorization.

130542073101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22851002 (or 11425501 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 130542073101001 in words is "one hundred thirty trillion, five hundred forty-two billion, seventy-three million, one hundred one thousand, one".