11311033434100 has 72 divisors (see below), whose sum is σ = 24572834847288. Its totient is φ = 4519274995200.

The previous prime is 11311033434083. The next prime is 11311033434109. The reversal of 11311033434100 is 143433011311.

11311033434100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7055122197904 + 4255911236196 = 2656148^2 + 2062986^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311033434109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326768394 + ... + 326803006.

It is an arithmetic number, because the mean of its divisors is an integer number (341289372879).

Almost surely, 2^{11311033434100} is an apocalyptic number.

11311033434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311033434100 is an abundant number, since it is smaller than the sum of its proper divisors (13261801413188).

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

11311033434100 is a wasteful number, since it uses less digits than its factorization.

11311033434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38245 (or 38238 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11311033434100 its reverse (143433011311), we get a palindrome (11454466445411).

The spelling of 11311033434100 in words is "eleven trillion, three hundred eleven billion, thirty-three million, four hundred thirty-four thousand, one hundred".