11313010133100 has 576 divisors, whose sum is σ = 41773807555200. Its totient is φ = 2601782968320.

The previous prime is 11313010133093. The next prime is 11313010133123. The reversal of 11313010133100 is 133101031311.

11313010133100 is a `hidden beast` number, since 1 + 1 + 31 + 301 + 0 + 1 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×11313010133100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81678706 + ... + 81817094.

It is an arithmetic number, because the mean of its divisors is an integer number (72523971450).

Almost surely, 2^{11313010133100} is an apocalyptic number.

11313010133100 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 11313010133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20886903777600).

11313010133100 is an abundant number, since it is smaller than the sum of its proper divisors (30460797422100).

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

11313010133100 is a wasteful number, since it uses less digits than its factorization.

11313010133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138579 (or 138566 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11313010133100 its reverse (133101031311), we get a palindrome (11446111164411).

The spelling of 11313010133100 in words is "eleven trillion, three hundred thirteen billion, ten million, one hundred thirty-three thousand, one hundred".