1131132202200 has 3456 divisors, whose sum is σ = 5646058629120. Its totient is φ = 195731251200.

The previous prime is 1131132202147. The next prime is 1131132202253. The reversal of 1131132202200 is 22022311311.

1131132202200 is a `hidden beast` number, since 1 + 131 + 132 + 202 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1131132202147) and next prime (1131132202253).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 24066642577 + ... + 24066642623.

It is an arithmetic number, because the mean of its divisors is an integer number (1633697520).

Almost surely, 2^{1131132202200} is an apocalyptic number.

1131132202200 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 1131132202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823029314560).

1131132202200 is an abundant number, since it is smaller than the sum of its proper divisors (4514926426920).

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

1131132202200 is a wasteful number, since it uses less digits than its factorization.

1131132202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1131132202200 its reverse (22022311311), we get a palindrome (1153154513511).

The spelling of 1131132202200 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-two million, two hundred two thousand, two hundred".