10210113 has 12 divisors (see below), whose sum is σ = 15147028. Its totient is φ = 6622560.

The previous prime is 10210111. The next prime is 10210121. The reversal of 10210113 is 31101201.

10210113 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9809424 + 400689 = 3132^2 + 633^2 .

It is not a de Polignac number, because 10210113 - 2¹ = 10210111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10210095 and 10210104.

It is not an unprimeable number, because it can be changed into a prime (10210111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14998 + ... + 15663.

Almost surely, 2^10210113 is an apocalyptic number.

It is an amenable number.

10210113 is a deficient number, since it is larger than the sum of its proper divisors (4936915).

10210113 is a wasteful number, since it uses less digits than its factorization.

10210113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30704 (or 30701 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10210113 is about 3195.3267438558. The cubic root of 10210113 is about 216.9419383548.

Adding to 10210113 its reverse (31101201), we get a palindrome (41311314).

The spelling of 10210113 in words is "ten million, two hundred ten thousand, one hundred thirteen".