1230333013000 has 288 divisors, whose sum is σ = 3626474421960. Its totient is φ = 389377497600.

The previous prime is 1230333012983. The next prime is 1230333013127. The reversal of 1230333013000 is 3103330321.

It can be written as a sum of positive squares in 12 ways, for example, as 843998665636 + 386334347364 = 918694^2 + 621558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8206714 + ... + 8355286.

Almost surely, 2^{1230333013000} is an apocalyptic number.

1230333013000 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 1230333013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813237210980).

1230333013000 is an abundant number, since it is smaller than the sum of its proper divisors (2396141408960).

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

1230333013000 is a wasteful number, since it uses less digits than its factorization.

1230333013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148634 (or 148600 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 1230333013000 its reverse (3103330321), we get a palindrome (1233436343321).

The spelling of 1230333013000 in words is "one trillion, two hundred thirty billion, three hundred thirty-three million, thirteen thousand".