1130233000320 has 384 divisors, whose sum is σ = 3972432391200. Its totient is φ = 296054784000.

The previous prime is 1130233000289. The next prime is 1130233000327. The reversal of 1130233000320 is 230003320311.

1130233000320 is a `hidden beast` number, since 1 + 1 + 302 + 330 + 0 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1130233000293 and 1130233000302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130233000327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105535126 + ... + 105545834.

Almost surely, 2^{1130233000320} is an apocalyptic number.

1130233000320 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 1130233000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986216195600).

1130233000320 is an abundant number, since it is smaller than the sum of its proper divisors (2842199390880).

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

1130233000320 is a wasteful number, since it uses less digits than its factorization.

1130233000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1130233000320 its reverse (230003320311), we get a palindrome (1360236320631).

The spelling of 1130233000320 in words is "one trillion, one hundred thirty billion, two hundred thirty-three million, three hundred twenty", and thus it is an aban number.