11131213301200 has 60 divisors (see below), whose sum is σ = 26979401481228. Its totient is φ = 4413082777600.

The previous prime is 11131213301189. The next prime is 11131213301237. The reversal of 11131213301200 is 210331213111.

It can be written as a sum of positive squares in 6 ways, for example, as 246123147664 + 10885090153536 = 496108^2 + 3299256^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 123087691 + ... + 123178090.

Almost surely, 2^{11131213301200} is an apocalyptic number.

11131213301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131213301200 is an abundant number, since it is smaller than the sum of its proper divisors (15848188180028).

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

11131213301200 is a wasteful number, since it uses less digits than its factorization.

11131213301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246265912 (or 246265901 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11131213301200 its reverse (210331213111), we get a palindrome (11341544514311).

The spelling of 11131213301200 in words is "eleven trillion, one hundred thirty-one billion, two hundred thirteen million, three hundred one thousand, two hundred".