13002130020 has 144 divisors (see below), whose sum is σ = 40224026304. Its totient is φ = 3135686400.

The previous prime is 13002129997. The next prime is 13002130021. The reversal of 13002130020 is 2003120031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13002129978 and 13002130005.

It is not an unprimeable number, because it can be changed into a prime (13002130021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1425675 + ... + 1434765.

It is an arithmetic number, because the mean of its divisors is an integer number (279333516).

Almost surely, 2^13002130020 is an apocalyptic number.

13002130020 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 13002130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112013152).

13002130020 is an abundant number, since it is smaller than the sum of its proper divisors (27221896284).

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

13002130020 is a wasteful number, since it uses less digits than its factorization.

13002130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13002130020 its reverse (2003120031), we get a palindrome (15005250051).

The spelling of 13002130020 in words is "thirteen billion, two million, one hundred thirty thousand, twenty".