13311042121410 has 256 divisors, whose sum is σ = 37326055979520. Its totient is φ = 3002227752960.

The previous prime is 13311042121357. The next prime is 13311042121411. The reversal of 13311042121410 is 1412124011331.

It is not an unprimeable number, because it can be changed into a prime (13311042121411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264750034 + ... + 264800306.

It is an arithmetic number, because the mean of its divisors is an integer number (145804906170).

Almost surely, 2^{13311042121410} is an apocalyptic number.

13311042121410 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 13311042121410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18663027989760).

13311042121410 is an abundant number, since it is smaller than the sum of its proper divisors (24015013858110).

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

13311042121410 is a wasteful number, since it uses less digits than its factorization.

13311042121410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50853.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13311042121410 its reverse (1412124011331), we get a palindrome (14723166132741).

The spelling of 13311042121410 in words is "thirteen trillion, three hundred eleven billion, forty-two million, one hundred twenty-one thousand, four hundred ten".