13130001024 has 256 divisors, whose sum is σ = 41434848000. Its totient is φ = 3604414464.

The previous prime is 13130001013. The next prime is 13130001043. The reversal of 13130001024 is 42010003131.

It is a junction number, because it is equal to n+sod(n) for n = 13130000994 and 13130001012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30323112 + ... + 30323544.

It is an arithmetic number, because the mean of its divisors is an integer number (161854875).

Almost surely, 2^13130001024 is an apocalyptic number.

13130001024 is a gapful number since it is divisible by the number (14) 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 13130001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424000).

13130001024 is an abundant number, since it is smaller than the sum of its proper divisors (28304846976).

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

13130001024 is a wasteful number, since it uses less digits than its factorization.

13130001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13130001024 its reverse (42010003131), we get a palindrome (55140004155).

The spelling of 13130001024 in words is "thirteen billion, one hundred thirty million, one thousand, twenty-four".