1020301331301 has 108 divisors (see below), whose sum is σ = 1784502517356. Its totient is φ = 560071653120.

The previous prime is 1020301331251. The next prime is 1020301331303. The reversal of 1020301331301 is 1031331030201.

It is a happy number.

1020301331301 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 30 + 1 + 331 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 656902145025 + 363399186276 = 810495^2 + 602826^2 .

It is not a de Polignac number, because 1020301331301 - 2¹⁷ = 1020301200229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020301331303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 58051951 + ... + 58069523.

It is an arithmetic number, because the mean of its divisors is an integer number (16523171457).

Almost surely, 2^{1020301331301} is an apocalyptic number.

It is an amenable number.

1020301331301 is a deficient number, since it is larger than the sum of its proper divisors (764201186055).

1020301331301 is a wasteful number, since it uses less digits than its factorization.

1020301331301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17792 (or 17751 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1020301331301 its reverse (1031331030201), we get a palindrome (2051632361502).

The spelling of 1020301331301 in words is "one trillion, twenty billion, three hundred one million, three hundred thirty-one thousand, three hundred one".