13016384130 has 64 divisors (see below), whose sum is σ = 31734540288. Its totient is φ = 3416107200.

The previous prime is 13016384107. The next prime is 13016384153. The reversal of 13016384130 is 3148361031.

13016384130 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13016384107) and next prime (13016384153).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2914279 + ... + 2918741.

It is an arithmetic number, because the mean of its divisors is an integer number (495852192).

Almost surely, 2^13016384130 is an apocalyptic number.

13016384130 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 13016384130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15867270144).

13016384130 is an abundant number, since it is smaller than the sum of its proper divisors (18718156158).

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

13016384130 is a wasteful number, since it uses less digits than its factorization.

13016384130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 13016384130 in words is "thirteen billion, sixteen million, three hundred eighty-four thousand, one hundred thirty".