13141214010 has 96 divisors (see below), whose sum is σ = 35831315520. Its totient is φ = 3464892288.

The previous prime is 13141213951. The next prime is 13141214029. The reversal of 13141214010 is 1041214131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185889 + ... + 246651.

It is an arithmetic number, because the mean of its divisors is an integer number (373242870).

Almost surely, 2^13141214010 is an apocalyptic number.

13141214010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141214010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915657760).

13141214010 is an abundant number, since it is smaller than the sum of its proper divisors (22690101510).

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

13141214010 is an equidigital number, since it uses as much as digits as its factorization.

13141214010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60874 (or 60862 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13141214010 its reverse (1041214131), we get a palindrome (14182428141).

It can be divided in two parts, 1314121 and 4010, that added together give a palindrome (1318131).

The spelling of 13141214010 in words is "thirteen billion, one hundred forty-one million, two hundred fourteen thousand, ten".