11131101131200 has 84 divisors (see below), whose sum is σ = 27605131309312. Its totient is φ = 4417381785600.

The previous prime is 11131101131197. The next prime is 11131101131203. The reversal of 11131101131200 is 213110113111.

It is an interprime number because it is at equal distance from previous prime (11131101131197) and next prime (11131101131203).

It is a super-2 number, since 2×11131101131200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131101131203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27186321 + ... + 27592720.

Almost surely, 2^{11131101131200} is an apocalyptic number.

11131101131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131101131200 is an abundant number, since it is smaller than the sum of its proper divisors (16474030178112).

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

11131101131200 is a wasteful number, since it uses less digits than its factorization.

11131101131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54779190 (or 54779175 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11131101131200 its reverse (213110113111), we get a palindrome (11344211244311).

The spelling of 11131101131200 in words is "eleven trillion, one hundred thirty-one billion, one hundred one million, one hundred thirty-one thousand, two hundred".