11333122310130 has 128 divisors (see below), whose sum is σ = 27709020794880. Its totient is φ = 2965787447040.

The previous prime is 11333122310117. The next prime is 11333122310143. The reversal of 11333122310130 is 3101322133311.

It is an interprime number because it is at equal distance from previous prime (11333122310117) and next prime (11333122310143).

It is a super-2 number, since 2×11333122310130² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11333122310130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2068462731 + ... + 2068468209.

It is an arithmetic number, because the mean of its divisors is an integer number (216476724960).

Almost surely, 2^{11333122310130} is an apocalyptic number.

11333122310130 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 11333122310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854510397440).

11333122310130 is an abundant number, since it is smaller than the sum of its proper divisors (16375898484750).

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

11333122310130 is a wasteful number, since it uses less digits than its factorization.

11333122310130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944.

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

Adding to 11333122310130 its reverse (3101322133311), we get a palindrome (14434444443441).

The spelling of 11333122310130 in words is "eleven trillion, three hundred thirty-three billion, one hundred twenty-two million, three hundred ten thousand, one hundred thirty".