11311310020100 has 72 divisors (see below), whose sum is σ = 24692715164040. Its totient is φ = 4497459563520.

The previous prime is 11311310020093. The next prime is 11311310020133. The reversal of 11311310020100 is 102001311311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4930593604036 + 6380716416064 = 2220494^2 + 2526008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13729022 + ... + 14529578.

Almost surely, 2^{11311310020100} is an apocalyptic number.

11311310020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311310020100 is an abundant number, since it is smaller than the sum of its proper divisors (13381405143940).

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

11311310020100 is a wasteful number, since it uses less digits than its factorization.

11311310020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801417 (or 801410 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11311310020100 its reverse (102001311311), we get a palindrome (11413311331411).

The spelling of 11311310020100 in words is "eleven trillion, three hundred eleven billion, three hundred ten million, twenty thousand, one hundred".