11213301312312 has 192 divisors, whose sum is σ = 31104584128800. Its totient is φ = 3366007603200.

The previous prime is 11213301312293. The next prime is 11213301312337. The reversal of 11213301312312 is 21321310331211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135043864 + ... + 135126872.

Almost surely, 2^{11213301312312} is an apocalyptic number.

11213301312312 is a gapful number since it is divisible by the number (12) 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 11213301312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552292064400).

11213301312312 is an abundant number, since it is smaller than the sum of its proper divisors (19891282816488).

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

11213301312312 is a wasteful number, since it uses less digits than its factorization.

11213301312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83478 (or 83463 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11213301312312 its reverse (21321310331211), we get a palindrome (32534611643523).

The spelling of 11213301312312 in words is "eleven trillion, two hundred thirteen billion, three hundred one million, three hundred twelve thousand, three hundred twelve".