13213120330410 has 512 divisors, whose sum is σ = 42908301434880. Its totient is φ = 2514773606400.

The previous prime is 13213120330393. The next prime is 13213120330451. The reversal of 13213120330410 is 1403302131231.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2428433290 + ... + 2428438730.

It is an arithmetic number, because the mean of its divisors is an integer number (83805276240).

Almost surely, 2^{13213120330410} is an apocalyptic number.

13213120330410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213120330410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21454150717440).

13213120330410 is an abundant number, since it is smaller than the sum of its proper divisors (29695181104470).

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

13213120330410 is a wasteful number, since it uses less digits than its factorization.

13213120330410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13213120330410 its reverse (1403302131231), we get a palindrome (14616422461641).

The spelling of 13213120330410 in words is "thirteen trillion, two hundred thirteen billion, one hundred twenty million, three hundred thirty thousand, four hundred ten".