11303134133100 has 144 divisors (see below), whose sum is σ = 33815069030400. Its totient is φ = 2912066726400.

The previous prime is 11303134133077. The next prime is 11303134133147. The reversal of 11303134133100 is 133143130311.

It is a super-2 number, since 2×11303134133100² (a number of 27 digits) contains 22 as substring.

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, 4556184 + ... + 6585216.

Almost surely, 2^{11303134133100} is an apocalyptic number.

11303134133100 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 11303134133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16907534515200).

11303134133100 is an abundant number, since it is smaller than the sum of its proper divisors (22511934897300).

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

11303134133100 is a wasteful number, since it uses less digits than its factorization.

11303134133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029680 (or 2029673 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11303134133100 its reverse (133143130311), we get a palindrome (11436277263411).

The spelling of 11303134133100 in words is "eleven trillion, three hundred three billion, one hundred thirty-four million, one hundred thirty-three thousand, one hundred".