11301333132210 has 256 divisors, whose sum is σ = 31790427955200. Its totient is φ = 2545075635200.

The previous prime is 11301333132191. The next prime is 11301333132251. The reversal of 11301333132210 is 1223133310311.

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 127 ways as a sum of consecutive naturals, for example, 26324680 + ... + 26750540.

It is an arithmetic number, because the mean of its divisors is an integer number (124181359200).

Almost surely, 2^{11301333132210} is an apocalyptic number.

11301333132210 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 11301333132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895213977600).

11301333132210 is an abundant number, since it is smaller than the sum of its proper divisors (20489094822990).

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

11301333132210 is a wasteful number, since it uses less digits than its factorization.

11301333132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426017.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11301333132210 its reverse (1223133310311), we get a palindrome (12524466442521).

The spelling of 11301333132210 in words is "eleven trillion, three hundred one billion, three hundred thirty-three million, one hundred thirty-two thousand, two hundred ten".