11310213600 has 1152 divisors, whose sum is σ = 51196723200. Its totient is φ = 2351462400.

The previous prime is 11310213583. The next prime is 11310213601. The reversal of 11310213600 is 631201311.

11310213600 is a `hidden beast` number, since 11 + 31 + 0 + 21 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310213601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89056737 + ... + 89056863.

It is an arithmetic number, because the mean of its divisors is an integer number (44441600).

Almost surely, 2^11310213600 is an apocalyptic number.

11310213600 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 11310213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598361600).

11310213600 is an abundant number, since it is smaller than the sum of its proper divisors (39886509600).

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

11310213600 is a wasteful number, since it uses less digits than its factorization.

11310213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11310213600 its reverse (631201311), we get a palindrome (11941414911).

The spelling of 11310213600 in words is "eleven billion, three hundred ten million, two hundred thirteen thousand, six hundred".