1131113301200 has 60 divisors (see below), whose sum is σ = 2768773337388. Its totient is φ = 443908608000.

The previous prime is 1131113301179. The next prime is 1131113301221. The reversal of 1131113301200 is 21033111311.

It is an interprime number because it is at equal distance from previous prime (1131113301179) and next prime (1131113301221).

It can be written as a sum of positive squares in 6 ways, for example, as 154423849024 + 976689452176 = 392968^2 + 988276^2 .

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, 26656001 + ... + 26698400.

Almost surely, 2^{1131113301200} is an apocalyptic number.

1131113301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131113301200 is an abundant number, since it is smaller than the sum of its proper divisors (1637660036188).

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

1131113301200 is a wasteful number, since it uses less digits than its factorization.

1131113301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53354472 (or 53354461 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1131113301200 its reverse (21033111311), we get a palindrome (1152146412511).

The spelling of 1131113301200 in words is "one trillion, one hundred thirty-one billion, one hundred thirteen million, three hundred one thousand, two hundred".