11311133323110 has 256 divisors, whose sum is σ = 29189997195264. Its totient is φ = 2800742510592.

The previous prime is 11311133323081. The next prime is 11311133323201. The reversal of 11311133323110 is 1132333111311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450684082 + ... + 450709178.

It is an arithmetic number, because the mean of its divisors is an integer number (114023426544).

Almost surely, 2^{11311133323110} is an apocalyptic number.

11311133323110 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 11311133323110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594998597632).

11311133323110 is an abundant number, since it is smaller than the sum of its proper divisors (17878863872154).

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

11311133323110 is a wasteful number, since it uses less digits than its factorization.

11311133323110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25407.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 11311133323110 its reverse (1132333111311), we get a palindrome (12443466434421).

The spelling of 11311133323110 in words is "eleven trillion, three hundred eleven billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred ten".