1020013130321 has 8 divisors (see below), whose sum is σ = 1031595769800. Its totient is φ = 1008433198080.

The previous prime is 1020013130303. The next prime is 1020013130393. The reversal of 1020013130321 is 1230313100201.

It can be written as a sum of positive squares in 4 ways, for example, as 1578949696 + 1018434180625 = 39736^2 + 1009175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020013130321 - 2¹⁸ = 1020012868177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020013130321.

It is not an unprimeable number, because it can be changed into a prime (1020013136321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85865 + ... + 1430873.

It is an arithmetic number, because the mean of its divisors is an integer number (128949471225).

Almost surely, 2^{1020013130321} is an apocalyptic number.

It is an amenable number.

1020013130321 is a deficient number, since it is larger than the sum of its proper divisors (11582639479).

1020013130321 is an equidigital number, since it uses as much as digits as its factorization.

1020013130321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353619.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1020013130321 its reverse (1230313100201), we get a palindrome (2250326230522).

The spelling of 1020013130321 in words is "one trillion, twenty billion, thirteen million, one hundred thirty thousand, three hundred twenty-one".