11331131033310 has 128 divisors (see below), whose sum is σ = 30012905272320. Its totient is φ = 2715044505600.

The previous prime is 11331131033269. The next prime is 11331131033311. The reversal of 11331131033310 is 1333013113311.

It is a super-2 number, since 2×11331131033310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131033311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12963900 + ... + 13810320.

It is an arithmetic number, because the mean of its divisors is an integer number (234475822440).

Almost surely, 2^{11331131033310} is an apocalyptic number.

11331131033310 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 11331131033310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006452636160).

11331131033310 is an abundant number, since it is smaller than the sum of its proper divisors (18681774239010).

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

11331131033310 is a wasteful number, since it uses less digits than its factorization.

11331131033310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846914.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 11331131033310 its reverse (1333013113311), we get a palindrome (12664144146621).

The spelling of 11331131033310 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, thirty-three thousand, three hundred ten".