10333011312 has 120 divisors (see below), whose sum is σ = 31984452864. Its totient is φ = 3093437952.

The previous prime is 10333011277. The next prime is 10333011317. The reversal of 10333011312 is 21311033301.

It is a happy number.

10333011312 is a `hidden beast` number, since 10 + 3 + 330 + 11 + 312 = 666.

It is a super-2 number, since 2×10333011312² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333011317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5328 + ... + 143855.

Almost surely, 2^10333011312 is an apocalyptic number.

10333011312 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 10333011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992226432).

10333011312 is an abundant number, since it is smaller than the sum of its proper divisors (21651441552).

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

10333011312 is a wasteful number, since it uses less digits than its factorization.

10333011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149247 (or 149238 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10333011312 its reverse (21311033301), we get a palindrome (31644044613).

The spelling of 10333011312 in words is "ten billion, three hundred thirty-three million, eleven thousand, three hundred twelve".