13121332110414 has 96 divisors (see below), whose sum is σ = 31418359191648. Its totient is φ = 3924619776000.

The previous prime is 13121332110409. The next prime is 13121332110431. The reversal of 13121332110414 is 41401123312131.

13121332110414 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 33 + 211 + 0 + 414 = 666.

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, 4175424 + ... + 6608844.

It is an arithmetic number, because the mean of its divisors is an integer number (327274574913).

Almost surely, 2^{13121332110414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121332110414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709179595824).

13121332110414 is an abundant number, since it is smaller than the sum of its proper divisors (18297027081234).

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

13121332110414 is a wasteful number, since it uses less digits than its factorization.

13121332110414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433794 (or 2433791 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13121332110414 its reverse (41401123312131), we get a palindrome (54522455422545).

The spelling of 13121332110414 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred ten thousand, four hundred fourteen".