13001141 has 16 divisors (see below), whose sum is σ = 14732928. Its totient is φ = 11404800.

The previous prime is 13001129. The next prime is 13001147. The reversal of 13001141 is 14110031.

13001141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13001141 - 2¹⁴ = 12984757 is a prime.

It is a super-3 number, since 3×13001141³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15626 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (920808).

Almost surely, 2^13001141 is an apocalyptic number.

It is an amenable number.

13001141 is a deficient number, since it is larger than the sum of its proper divisors (1731787).

13001141 is a wasteful number, since it uses less digits than its factorization.

13001141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 13001141 is about 3605.7095002232. The cubic root of 13001141 is about 235.1403477321.

Adding to 13001141 its reverse (14110031), we get a palindrome (27111172).

The spelling of 13001141 in words is "thirteen million, one thousand, one hundred forty-one".