10122013 has 6 divisors (see below), whose sum is σ = 11125982. Its totient is φ = 9201720.

The previous prime is 10122011. The next prime is 10122043. The reversal of 10122013 is 31022101.

It can be written as a sum of positive squares in only one way, i.e., 5184729 + 4937284 = 2277^2 + 2222^2 .

It is not a de Polignac number, because 10122013 - 2¹ = 10122011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41706 + ... + 41947.

Almost surely, 2^10122013 is an apocalyptic number.

It is an amenable number.

10122013 is a deficient number, since it is larger than the sum of its proper divisors (1003969).

10122013 is an equidigital number, since it uses as much as digits as its factorization.

10122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83675 (or 83664 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10122013 is about 3181.5111189496. The cubic root of 10122013 is about 216.3161593823.

Adding to 10122013 its reverse (31022101), we get a palindrome (41144114).

It can be divided in two parts, 1012 and 2013, that added together give a square (3025 = 55²).

The spelling of 10122013 in words is "ten million, one hundred twenty-two thousand, thirteen".