11213200320 has 448 divisors, whose sum is σ = 42469125120. Its totient is φ = 2452488192.

The previous prime is 11213200277. The next prime is 11213200363. The reversal of 11213200320 is 2300231211.

It is an interprime number because it is at equal distance from previous prime (11213200277) and next prime (11213200363).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11213200320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11213200320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31765264 + ... + 31765616.

Almost surely, 2^11213200320 is an apocalyptic number.

11213200320 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 11213200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234562560).

11213200320 is an abundant number, since it is smaller than the sum of its proper divisors (31255924800).

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

11213200320 is a wasteful number, since it uses less digits than its factorization.

11213200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11213200320 its reverse (2300231211), we get a palindrome (13513431531).

The spelling of 11213200320 in words is "eleven billion, two hundred thirteen million, two hundred thousand, three hundred twenty".