11331312213000 has 512 divisors, whose sum is σ = 38388130260480. Its totient is φ = 2766274560000.

The previous prime is 11331312212999. The next prime is 11331312213007. The reversal of 11331312213000 is 31221313311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11331312213007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2415540655 + ... + 2415545345.

It is an arithmetic number, because the mean of its divisors is an integer number (74976816915).

Almost surely, 2^{11331312213000} is an apocalyptic number.

11331312213000 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 11331312213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194065130240).

11331312213000 is an abundant number, since it is smaller than the sum of its proper divisors (27056818047480).

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

11331312213000 is a wasteful number, since it uses less digits than its factorization.

11331312213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331312213000 its reverse (31221313311), we get a palindrome (11362533526311).

The spelling of 11331312213000 in words is "eleven trillion, three hundred thirty-one billion, three hundred twelve million, two hundred thirteen thousand".