10213120632 has 256 divisors, whose sum is σ = 30707712000. Its totient is φ = 2790028800.

The previous prime is 10213120613. The next prime is 10213120649. The reversal of 10213120632 is 23602131201.

It is a junction number, because it is equal to n+sod(n) for n = 10213120599 and 10213120608.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 37686657 + ... + 37686927.

It is an arithmetic number, because the mean of its divisors is an integer number (119952000).

Almost surely, 2^10213120632 is an apocalyptic number.

10213120632 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 10213120632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353856000).

10213120632 is an abundant number, since it is smaller than the sum of its proper divisors (20494591368).

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

10213120632 is a wasteful number, since it uses less digits than its factorization.

10213120632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10213120632 its reverse (23602131201), we get a palindrome (33815251833).

The spelling of 10213120632 in words is "ten billion, two hundred thirteen million, one hundred twenty thousand, six hundred thirty-two".