13141414000 has 160 divisors (see below), whose sum is σ = 37331985600. Its totient is φ = 4411008000.

The previous prime is 13141413977. The next prime is 13141414009. The reversal of 13141414000 is 41414131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141414009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263026 + ... + 308974.

It is an arithmetic number, because the mean of its divisors is an integer number (233324910).

Almost surely, 2^13141414000 is an apocalyptic number.

13141414000 is a gapful number since it is divisible by the number (10) 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 13141414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665992800).

13141414000 is an abundant number, since it is smaller than the sum of its proper divisors (24190571600).

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

13141414000 is a wasteful number, since it uses less digits than its factorization.

13141414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45996 (or 45980 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13141414000 its reverse (41414131), we get a palindrome (13182828131).

The spelling of 13141414000 in words is "thirteen billion, one hundred forty-one million, four hundred fourteen thousand".