1020305445133 has 8 divisors (see below), whose sum is σ = 1099380935576. Its totient is φ = 941314305600.

The previous prime is 1020305445113. The next prime is 1020305445139. The reversal of 1020305445133 is 3315445030201.

It can be written as a sum of positive squares in 4 ways, for example, as 65516545444 + 954788899689 = 255962^2 + 977133^2 .

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 1020305445133 - 2²⁹ = 1019768574221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020305445095 and 1020305445104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020305445139) 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, 21062598 + ... + 21110983.

It is an arithmetic number, because the mean of its divisors is an integer number (137422616947).

Almost surely, 2^{1020305445133} is an apocalyptic number.

1020305445133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020305445133 is a deficient number, since it is larger than the sum of its proper divisors (79075490443).

1020305445133 is a wasteful number, since it uses less digits than its factorization.

1020305445133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42175455.

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 1020305445133 in words is "one trillion, twenty billion, three hundred five million, four hundred forty-five thousand, one hundred thirty-three".