10213323120 has 960 divisors, whose sum is σ = 47420964864. Its totient is φ = 1901076480.

The previous prime is 10213323097. The next prime is 10213323173. The reversal of 10213323120 is 2132331201.

Added to its reverse (2132331201) it gives a square (12345654321 = 111111²).

10213323120 is a `hidden beast` number, since 1 + 0 + 21 + 332 + 312 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10213323093 and 10213323102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26666449 + ... + 26666831.

Almost surely, 2^10213323120 is an apocalyptic number.

10213323120 is a gapful number since it is divisible by the number (10) 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 10213323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710482432).

10213323120 is an abundant number, since it is smaller than the sum of its proper divisors (37207641744).

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

10213323120 is a wasteful number, since it uses less digits than its factorization.

10213323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

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

Adding to 10213323120 its reverse (2132331201), we get a palindrome (12345654321).

It can be divided in two parts, 10213 and 323120, that added together give a palindrome (333333).

The spelling of 10213323120 in words is "ten billion, two hundred thirteen million, three hundred twenty-three thousand, one hundred twenty".