10213330032312 has 128 divisors (see below), whose sum is σ = 28193108832000. Its totient is φ = 3057337226240.

The previous prime is 10213330032277. The next prime is 10213330032319. The reversal of 10213330032312 is 21323003331201.

It is a super-2 number, since 2×10213330032312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213330032319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280652614 + ... + 280689002.

It is an arithmetic number, because the mean of its divisors is an integer number (220258662750).

Almost surely, 2^{10213330032312} is an apocalyptic number.

10213330032312 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 10213330032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14096554416000).

10213330032312 is an abundant number, since it is smaller than the sum of its proper divisors (17979778799688).

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

10213330032312 is a wasteful number, since it uses less digits than its factorization.

10213330032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49301 (or 49297 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10213330032312 its reverse (21323003331201), we get a palindrome (31536333363513).

The spelling of 10213330032312 in words is "ten trillion, two hundred thirteen billion, three hundred thirty million, thirty-two thousand, three hundred twelve".