13001020009 has 16 divisors (see below), whose sum is σ = 14317390080. Its totient is φ = 11760647040.

The previous prime is 13001020001. The next prime is 13001020061. The reversal of 13001020009 is 90002010031.

It is a cyclic number.

It is not a de Polignac number, because 13001020009 - 2³ = 13001020001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13001019974 and 13001020001.

It is not an unprimeable number, because it can be changed into a prime (13001020001) 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, 140934 + ... + 214159.

It is an arithmetic number, because the mean of its divisors is an integer number (894836880).

Almost surely, 2^13001020009 is an apocalyptic number.

13001020009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13001020009 is a deficient number, since it is larger than the sum of its proper divisors (1316370071).

13001020009 is a wasteful number, since it uses less digits than its factorization.

13001020009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355200.

The product of its (nonzero) digits is 54, while the sum is 16.

The spelling of 13001020009 in words is "thirteen billion, one million, twenty thousand, nine".