1133300233120 has 192 divisors, whose sum is σ = 2933047418112. Its totient is φ = 410388480000.

The previous prime is 1133300233103. The next prime is 1133300233159. The reversal of 1133300233120 is 213320033311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1133300233091 and 1133300233100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618950605 + ... + 618952435.

It is an arithmetic number, because the mean of its divisors is an integer number (15276288636).

Almost surely, 2^{1133300233120} is an apocalyptic number.

1133300233120 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 1133300233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466523709056).

1133300233120 is an abundant number, since it is smaller than the sum of its proper divisors (1799747184992).

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

1133300233120 is a wasteful number, since it uses less digits than its factorization.

1133300233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1133300233120 its reverse (213320033311), we get a palindrome (1346620266431).

The spelling of 1133300233120 in words is "one trillion, one hundred thirty-three billion, three hundred million, two hundred thirty-three thousand, one hundred twenty".