1020013210321 has 32 divisors (see below), whose sum is σ = 1205021664000. Its totient is φ = 862923680640.

The previous prime is 1020013210313. The next prime is 1020013210369. The reversal of 1020013210321 is 1230123100201.

It is not a de Polignac number, because 1020013210321 - 2³ = 1020013210313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020013210295 and 1020013210304.

It is not an unprimeable number, because it can be changed into a prime (1020013210621) 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 31 ways as a sum of consecutive naturals, for example, 30188725 + ... + 30222493.

It is an arithmetic number, because the mean of its divisors is an integer number (37656927000).

Almost surely, 2^{1020013210321} is an apocalyptic number.

It is an amenable number.

1020013210321 is a deficient number, since it is larger than the sum of its proper divisors (185008453679).

1020013210321 is an equidigital number, since it uses as much as digits as its factorization.

1020013210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34934 (or 34920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020013210321 its reverse (1230123100201), we get a palindrome (2250136310522).

The spelling of 1020013210321 in words is "one trillion, twenty billion, thirteen million, two hundred ten thousand, three hundred twenty-one".