13001142 has 64 divisors (see below), whose sum is σ = 32845824. Its totient is φ = 3332640.

The previous prime is 13001129. The next prime is 13001147. The reversal of 13001142 is 24110031.

It is a happy number.

13001142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 49303 + ... + 49565.

It is an arithmetic number, because the mean of its divisors is an integer number (513216).

Almost surely, 2^13001142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422912).

13001142 is an abundant number, since it is smaller than the sum of its proper divisors (19844682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13001142 is a wasteful number, since it uses less digits than its factorization.

13001142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13001142 is about 3605.7096388922. The cubic root of 13001142 is about 235.1403537608.

Adding to 13001142 its reverse (24110031), we get a palindrome (37111173).

Subtracting 13001142 from its reverse (24110031), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1300 and 1142, that added together give a palindrome (2442).

The spelling of 13001142 in words is "thirteen million, one thousand, one hundred forty-two".