13415131011414 has 96 divisors (see below), whose sum is σ = 29610301690368. Its totient is φ = 4048794481600.

The previous prime is 13415131011361. The next prime is 13415131011449. The reversal of 13415131011414 is 41411013151431.

13415131011414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13415131011414² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183639304 + ... + 183712340.

It is an arithmetic number, because the mean of its divisors is an integer number (308440642608).

Almost surely, 2^{13415131011414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13415131011414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805150845184).

13415131011414 is an abundant number, since it is smaller than the sum of its proper divisors (16195170678954).

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

13415131011414 is a wasteful number, since it uses less digits than its factorization.

13415131011414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74082 (or 74071 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 13415131011414 its reverse (41411013151431), we get a palindrome (54826144162845).

The spelling of 13415131011414 in words is "thirteen trillion, four hundred fifteen billion, one hundred thirty-one million, eleven thousand, four hundred fourteen".