13001020 has 24 divisors (see below), whose sum is σ = 27410544. Its totient is φ = 5179776.

The previous prime is 13000993. The next prime is 13001029. The reversal of 13001020 is 2010031.

It is a junction number, because it is equal to n+sod(n) for n = 13000994 and 13001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4512 + ... + 6808.

It is an arithmetic number, because the mean of its divisors is an integer number (1142106).

Almost surely, 2^13001020 is an apocalyptic number.

13001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001020 is an abundant number, since it is smaller than the sum of its proper divisors (14409524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13001020 is a wasteful number, since it uses less digits than its factorization.

13001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13001020 is about 3605.6927212396. The cubic root of 13001020 is about 235.1396182558.

Adding to 13001020 its reverse (2010031), we get a palindrome (15011051).

The spelling of 13001020 in words is "thirteen million, one thousand, twenty".