1032020042013 has 20 divisors (see below), whose sum is σ = 1541864380188. Its totient is φ = 687921958080.

The previous prime is 1032020041973. The next prime is 1032020042047. The reversal of 1032020042013 is 3102400202301.

1032020042013 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 200 + 420 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 755887658724 + 276132383289 = 869418^2 + 525483^2 .

It is not a de Polignac number, because 1032020042013 - 2³³ = 1023430107421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032020040013) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230106 + ... + 1454987.

Almost surely, 2^{1032020042013} is an apocalyptic number.

It is an amenable number.

1032020042013 is a deficient number, since it is larger than the sum of its proper divisors (509844338175).

1032020042013 is an equidigital number, since it uses as much as digits as its factorization.

1032020042013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692666 (or 1692657 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1032020042013 its reverse (3102400202301), we get a palindrome (4134420244314).

The spelling of 1032020042013 in words is "one trillion, thirty-two billion, twenty million, forty-two thousand, thirteen".