13002023130 has 128 divisors (see below), whose sum is σ = 33870763008. Its totient is φ = 3181780992.

The previous prime is 13002023129. The next prime is 13002023143. The reversal of 13002023130 is 3132020031.

13002023130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7501744 + ... + 7503476.

It is an arithmetic number, because the mean of its divisors is an integer number (264615336).

Almost surely, 2^13002023130 is an apocalyptic number.

13002023130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935381504).

13002023130 is an abundant number, since it is smaller than the sum of its proper divisors (20868739878).

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

13002023130 is a wasteful number, since it uses less digits than its factorization.

13002023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13002023130 its reverse (3132020031), we get a palindrome (16134043161).

The spelling of 13002023130 in words is "thirteen billion, two million, twenty-three thousand, one hundred thirty".