1020305314013 has 16 divisors (see below), whose sum is σ = 1038988244160. Its totient is φ = 1001669736576.

The previous prime is 1020305314001. The next prime is 1020305314031. The reversal of 1020305314013 is 3104135030201.

It is a cyclic number.

It is not a de Polignac number, because 1020305314013 - 2⁴ = 1020305313997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1020305314013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020305314043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209205131 + ... + 209210007.

It is an arithmetic number, because the mean of its divisors is an integer number (64936765260).

Almost surely, 2^{1020305314013} is an apocalyptic number.

It is an amenable number.

1020305314013 is a deficient number, since it is larger than the sum of its proper divisors (18682930147).

1020305314013 is a wasteful number, since it uses less digits than its factorization.

1020305314013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956.

The product of its (nonzero) digits is 1080, while the sum is 23.

The spelling of 1020305314013 in words is "one trillion, twenty billion, three hundred five million, three hundred fourteen thousand, thirteen".