1131033213000 has 320 divisors, whose sum is σ = 3955796507520. Its totient is φ = 301440528000.

The previous prime is 1131033212987. The next prime is 1131033213053. The reversal of 1131033213000 is 3123301311.

It is a happy number.

1131033213000 is a `hidden beast` number, since 1 + 1 + 31 + 0 + 332 + 1 + 300 + 0 = 666.

It is a super-2 number, since 2×1131033213000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 226068499 + ... + 226073501.

It is an arithmetic number, because the mean of its divisors is an integer number (12361864086).

Almost surely, 2^{1131033213000} is an apocalyptic number.

1131033213000 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 1131033213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977898253760).

1131033213000 is an abundant number, since it is smaller than the sum of its proper divisors (2824763294520).

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

1131033213000 is a wasteful number, since it uses less digits than its factorization.

1131033213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7827 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1131033213000 its reverse (3123301311), we get a palindrome (1134156514311).

The spelling of 1131033213000 in words is "one trillion, one hundred thirty-one billion, thirty-three million, two hundred thirteen thousand".