13001451414 has 64 divisors (see below), whose sum is σ = 30171294720. Its totient is φ = 3658112640.

The previous prime is 13001451409. The next prime is 13001451427. The reversal of 13001451414 is 41415410031.

It is a happy number.

It is a congruent number.

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, 3257332 + ... + 3261320.

It is an arithmetic number, because the mean of its divisors is an integer number (471426480).

Almost surely, 2^13001451414 is an apocalyptic number.

13001451414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001451414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085647360).

13001451414 is an abundant number, since it is smaller than the sum of its proper divisors (17169843306).

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

13001451414 is a wasteful number, since it uses less digits than its factorization.

13001451414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13001451414 its reverse (41415410031), we get a palindrome (54416861445).

The spelling of 13001451414 in words is "thirteen billion, one million, four hundred fifty-one thousand, four hundred fourteen".