303213120133230 has 1024 divisors, whose sum is σ = 945569479680000. Its totient is φ = 68641202995200.

The previous prime is 303213120133177. The next prime is 303213120133241. The reversal of 303213120133230 is 32331021312303.

303213120133230 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 131 + 201 + 3 + 323 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 303213120133194 and 303213120133203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 39169757160 + ... + 39169764900.

It is an arithmetic number, because the mean of its divisors is an integer number (923407695000).

Almost surely, 2^{303213120133230} is an apocalyptic number.

303213120133230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 303213120133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472784739840000).

303213120133230 is an abundant number, since it is smaller than the sum of its proper divisors (642356359546770).

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

303213120133230 is a wasteful number, since it uses less digits than its factorization.

303213120133230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8084 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 303213120133230 its reverse (32331021312303), we get a palindrome (335544141445533).

The spelling of 303213120133230 in words is "three hundred three trillion, two hundred thirteen billion, one hundred twenty million, one hundred thirty-three thousand, two hundred thirty".