11023310310100 has 216 divisors, whose sum is σ = 26374975337984. Its totient is φ = 3995985312000.

The previous prime is 11023310310083. The next prime is 11023310310101. The reversal of 11023310310100 is 101301332011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023310310101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9868674742 + ... + 9868675858.

Almost surely, 2^{11023310310100} is an apocalyptic number.

11023310310100 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 11023310310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13187487668992).

11023310310100 is an abundant number, since it is smaller than the sum of its proper divisors (15351665027884).

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

11023310310100 is a wasteful number, since it uses less digits than its factorization.

11023310310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11023310310100 its reverse (101301332011), we get a palindrome (11124611642111).

The spelling of 11023310310100 in words is "eleven trillion, twenty-three billion, three hundred ten million, three hundred ten thousand, one hundred".