11213303033100 has 144 divisors (see below), whose sum is σ = 37118574259200. Its totient is φ = 2560281323520.

The previous prime is 11213303033071. The next prime is 11213303033129. The reversal of 11213303033100 is 133030331211.

It is an interprime number because it is at equal distance from previous prime (11213303033071) and next prime (11213303033129).

It is a super-2 number, since 2×11213303033100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922980 + ... + 4824779.

It is an arithmetic number, because the mean of its divisors is an integer number (257767876800).

Almost surely, 2^{11213303033100} is an apocalyptic number.

11213303033100 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 11213303033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18559287129600).

11213303033100 is an abundant number, since it is smaller than the sum of its proper divisors (25905271226100).

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

11213303033100 is a wasteful number, since it uses less digits than its factorization.

11213303033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748712 (or 5748705 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11213303033100 its reverse (133030331211), we get a palindrome (11346333364311).

The spelling of 11213303033100 in words is "eleven trillion, two hundred thirteen billion, three hundred three million, thirty-three thousand, one hundred".