10013121 has 6 divisors (see below), whose sum is σ = 14463410. Its totient is φ = 6675408.

The previous prime is 10013111. The next prime is 10013137. The reversal of 10013121 is 12131001.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 1718721 = 2880^2 + 1311^2 .

It is not a de Polignac number, because 10013121 - 2¹⁴ = 9996737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1112569 = 10013121 / (1 + 0 + 0 + 1 + 3 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556276 + ... + 556293.

Almost surely, 2^10013121 is an apocalyptic number.

It is an amenable number.

10013121 is a deficient number, since it is larger than the sum of its proper divisors (4450289).

10013121 is a wasteful number, since it uses less digits than its factorization.

10013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112575 (or 1112572 counting only the distinct ones).

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

The square root of 10013121 is about 3164.3515923487. The cubic root of 10013121 is about 215.5376556130.

Adding to 10013121 its reverse (12131001), we get a palindrome (22144122).

The spelling of 10013121 in words is "ten million, thirteen thousand, one hundred twenty-one".