1131312000 has 768 divisors, whose sum is σ = 4825154880. Its totient is φ = 232243200.

The previous prime is 1131311959. The next prime is 1131312001. The reversal of 1131312000 is 2131311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131312001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30575982 + ... + 30576018.

Almost surely, 2^1131312000 is an apocalyptic number.

1131312000 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 1131312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412577440).

1131312000 is an abundant number, since it is smaller than the sum of its proper divisors (3693842880).

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

1131312000 is a wasteful number, since it uses less digits than its factorization.

1131312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1131312000 is about 33634.9817897974. The cubic root of 1131312000 is about 1041.9833945308.

Adding to 1131312000 its reverse (2131311), we get a palindrome (1133443311).

The spelling of 1131312000 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand".