10233303213312 has 216 divisors, whose sum is σ = 30298589927424. Its totient is φ = 3320383352832.

The previous prime is 10233303213307. The next prime is 10233303213349. The reversal of 10233303213312 is 21331230333201.

10233303213312 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 3 + 0 + 321 + 331 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15178293 + ... + 15838155.

It is an arithmetic number, because the mean of its divisors is an integer number (140271249664).

Almost surely, 2^{10233303213312} is an apocalyptic number.

10233303213312 is a gapful number since it is divisible by the number (12) 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 10233303213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149294963712).

10233303213312 is an abundant number, since it is smaller than the sum of its proper divisors (20065286714112).

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

10233303213312 is a wasteful number, since it uses less digits than its factorization.

10233303213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660065 (or 660048 counting only the distinct ones).

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

Adding to 10233303213312 its reverse (21331230333201), we get a palindrome (31564533546513).

The spelling of 10233303213312 in words is "ten trillion, two hundred thirty-three billion, three hundred three million, two hundred thirteen thousand, three hundred twelve".