13314431130 has 512 divisors, whose sum is σ = 46067761152. Its totient is φ = 2372198400.

The previous prime is 13314431113. The next prime is 13314431147. The reversal of 13314431130 is 3113441331.

It is an interprime number because it is at equal distance from previous prime (13314431113) and next prime (13314431147).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13314431130.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25555270 + ... + 25555790.

It is an arithmetic number, because the mean of its divisors is an integer number (89976096).

Almost surely, 2^13314431130 is an apocalyptic number.

13314431130 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 13314431130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23033880576).

13314431130 is an abundant number, since it is smaller than the sum of its proper divisors (32753330022).

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

13314431130 is a wasteful number, since it uses less digits than its factorization.

13314431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13314431130 its reverse (3113441331), we get a palindrome (16427872461).

It can be divided in two parts, 13314 and 431130, that added together give a palindrome (444444).

The spelling of 13314431130 in words is "thirteen billion, three hundred fourteen million, four hundred thirty-one thousand, one hundred thirty".