11123213213300 has 72 divisors (see below), whose sum is σ = 24293109620640. Its totient is φ = 4420649923200.

The previous prime is 11123213213297. The next prime is 11123213213327. The reversal of 11123213213300 is 331231232111.

11123213213300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11123213213300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11936666 + ... + 12834734.

Almost surely, 2^{11123213213300} is an apocalyptic number.

11123213213300 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 11123213213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146554810320).

11123213213300 is an abundant number, since it is smaller than the sum of its proper divisors (13169896407340).

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

11123213213300 is a wasteful number, since it uses less digits than its factorization.

11123213213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898881 (or 898874 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 11123213213300 its reverse (331231232111), we get a palindrome (11454444445411).

The spelling of 11123213213300 in words is "eleven trillion, one hundred twenty-three billion, two hundred thirteen million, two hundred thirteen thousand, three hundred".