1020302310321 has 36 divisors (see below), whose sum is σ = 1737870302532. Its totient is φ = 575043162624.

The previous prime is 1020302310283. The next prime is 1020302310347. The reversal of 1020302310321 is 1230132030201.

1020302310321 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 30 + 2 + 310 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239003654400 + 781298655921 = 488880^2 + 883911^2 .

It is not a de Polignac number, because 1020302310321 - 2⁶ = 1020302310257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020302310294 and 1020302310303.

It is not an unprimeable number, because it can be changed into a prime (1020302310221) 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 35 ways as a sum of consecutive naturals, for example, 15814456 + ... + 15878841.

Almost surely, 2^{1020302310321} is an apocalyptic number.

It is an amenable number.

1020302310321 is a deficient number, since it is larger than the sum of its proper divisors (717567992211).

1020302310321 is a wasteful number, since it uses less digits than its factorization.

1020302310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31693390 (or 31693380 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1020302310321 its reverse (1230132030201), we get a palindrome (2250434340522).

The spelling of 1020302310321 in words is "one trillion, twenty billion, three hundred two million, three hundred ten thousand, three hundred twenty-one".