10013101 has 12 divisors (see below), whose sum is σ = 11722620. Its totient is φ = 8527680.

The previous prime is 10013077. The next prime is 10013111. The reversal of 10013101 is 10131001.

10013101 = T₂₃₈ + T₂₃₉ + ... + T₄₁₈.

It is a happy number.

10013101 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 2 ways, for example, as 396900 + 9616201 = 630^2 + 3101^2 .

It is not a de Polignac number, because 10013101 - 2¹⁷ = 9882029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 8305 + ... + 9433.

It is an arithmetic number, because the mean of its divisors is an integer number (976885).

Almost surely, 2^10013101 is an apocalyptic number.

It is an amenable number.

10013101 is a deficient number, since it is larger than the sum of its proper divisors (1709519).

10013101 is a wasteful number, since it uses less digits than its factorization.

10013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 10013101 is about 3164.3484321421. The cubic root of 10013101 is about 215.5375121094.

Adding to 10013101 its reverse (10131001), we get a palindrome (20144102).

The spelling of 10013101 in words is "ten million, thirteen thousand, one hundred one".