10213300032 has 336 divisors, whose sum is σ = 30861073152. Its totient is φ = 2976030720.

The previous prime is 10213300007. The next prime is 10213300037. The reversal of 10213300032 is 23000331201.

It is a super-2 number, since 2×10213300032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10213299984 and 10213300020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213300037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56426982 + ... + 56427162.

It is an arithmetic number, because the mean of its divisors is an integer number (91848432).

Almost surely, 2^10213300032 is an apocalyptic number.

10213300032 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 10213300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430536576).

10213300032 is an abundant number, since it is smaller than the sum of its proper divisors (20647773120).

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

10213300032 is a wasteful number, since it uses less digits than its factorization.

10213300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10213300032 its reverse (23000331201), we get a palindrome (33213631233).

The spelling of 10213300032 in words is "ten billion, two hundred thirteen million, three hundred thousand, thirty-two".