13213432422414 has 192 divisors, whose sum is σ = 34509079987200. Its totient is φ = 3569509472256.

The previous prime is 13213432422413. The next prime is 13213432422439. The reversal of 13213432422414 is 41422423431231.

13213432422414 is a `hidden beast` number, since 1 + 3 + 213 + 4 + 3 + 2 + 4 + 22 + 414 = 666.

It is a super-3 number, since 3×13213432422414³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213432422413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3200151102 + ... + 3200155230.

It is an arithmetic number, because the mean of its divisors is an integer number (179734791600).

Almost surely, 2^{13213432422414} is an apocalyptic number.

13213432422414 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 13213432422414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254539993600).

13213432422414 is an abundant number, since it is smaller than the sum of its proper divisors (21295647564786).

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

13213432422414 is a wasteful number, since it uses less digits than its factorization.

13213432422414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479 (or 6476 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 13213432422414 its reverse (41422423431231), we get a palindrome (54635855853645).

The spelling of 13213432422414 in words is "thirteen trillion, two hundred thirteen billion, four hundred thirty-two million, four hundred twenty-two thousand, four hundred fourteen".