11331331213300 has 144 divisors (see below), whose sum is σ = 29862169198848. Its totient is φ = 3643295385600.

The previous prime is 11331331213273. The next prime is 11331331213373. The reversal of 11331331213300 is 331213313311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577505 + ... + 5015095.

It is an arithmetic number, because the mean of its divisors is an integer number (207376174992).

Almost surely, 2^{11331331213300} is an apocalyptic number.

11331331213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331331213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931084599424).

11331331213300 is an abundant number, since it is smaller than the sum of its proper divisors (18530837985548).

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

11331331213300 is a wasteful number, since it uses less digits than its factorization.

11331331213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437906 (or 3437899 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 11331331213300 its reverse (331213313311), we get a palindrome (11662544526611).

The spelling of 11331331213300 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred".