10023321312 has 144 divisors (see below), whose sum is σ = 30996765072. Its totient is φ = 3059527680.

The previous prime is 10023321289. The next prime is 10023321353. The reversal of 10023321312 is 21312332001.

10023321312 is a `hidden beast` number, since 10 + 0 + 23 + 321 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 153487 + ... + 208817.

It is an arithmetic number, because the mean of its divisors is an integer number (215255313).

Almost surely, 2^10023321312 is an apocalyptic number.

10023321312 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 10023321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498382536).

10023321312 is an abundant number, since it is smaller than the sum of its proper divisors (20973443760).

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

10023321312 is a wasteful number, since it uses less digits than its factorization.

10023321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55401 (or 55390 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023321312 its reverse (21312332001), we get a palindrome (31335653313).

The spelling of 10023321312 in words is "ten billion, twenty-three million, three hundred twenty-one thousand, three hundred twelve".