10213031120 has 80 divisors (see below), whose sum is σ = 24566083920. Its totient is φ = 3945984000.

The previous prime is 10213031111. The next prime is 10213031137. The reversal of 10213031120 is 2113031201.

10213031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 262569616 + 9950461504 = 16204^2 + 99752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10213031095 and 10213031104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315866 + ... + 346694.

It is an arithmetic number, because the mean of its divisors is an integer number (307076049).

Almost surely, 2^10213031120 is an apocalyptic number.

10213031120 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 10213031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283041960).

10213031120 is an abundant number, since it is smaller than the sum of its proper divisors (14353052800).

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

10213031120 is a wasteful number, since it uses less digits than its factorization.

10213031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30984 (or 30978 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10213031120 its reverse (2113031201), we get a palindrome (12326062321).

The spelling of 10213031120 in words is "ten billion, two hundred thirteen million, thirty-one thousand, one hundred twenty".