13001515020 has 144 divisors (see below), whose sum is σ = 42508589760. Its totient is φ = 3197587968.

The previous prime is 13001515001. The next prime is 13001515039. The reversal of 13001515020 is 2051510031.

13001515020 is a `hidden beast` number, since 13 + 0 + 0 + 151 + 502 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13001515001) and next prime (13001515039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13001514984 and 13001515002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4395382 + ... + 4398338.

It is an arithmetic number, because the mean of its divisors is an integer number (295198540).

Almost surely, 2^13001515020 is an apocalyptic number.

13001515020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001515020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254294880).

13001515020 is an abundant number, since it is smaller than the sum of its proper divisors (29507074740).

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

13001515020 is a wasteful number, since it uses less digits than its factorization.

13001515020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 13001515020 in words is "thirteen billion, one million, five hundred fifteen thousand, twenty".