1020134340289 has 9 divisors (see below), whose sum is σ = 1024187366241. Its totient is φ = 1016097302340.

The previous prime is 1020134340283. The next prime is 1020134340317. The reversal of 1020134340289 is 9820434310201.

The square root of 1020134340289 is 1010017.

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

It is not a de Polignac number, because 1020134340289 - 2¹⁷ = 1020134209217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020134340283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 273712744 + ... + 273716470.

It is an arithmetic number, because the mean of its divisors is an integer number (113798596249).

Almost surely, 2^{1020134340289} is an apocalyptic number.

1020134340289 is the 1010017-th square number.

1020134340289 is the 505009-th centered octagonal number.

It is an amenable number.

1020134340289 is a deficient number, since it is larger than the sum of its proper divisors (4053025952).

1020134340289 is an frugal number, since it uses more digits than its factorization.

1020134340289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1020134340289 in words is "one trillion, twenty billion, one hundred thirty-four million, three hundred forty thousand, two hundred eighty-nine".