13641431034 has 128 divisors (see below), whose sum is σ = 34741923840. Its totient is φ = 3468326400.

The previous prime is 13641431033. The next prime is 13641431051. The reversal of 13641431034 is 43013414631.

It is a junction number, because it is equal to n+sod(n) for n = 13641430992 and 13641431010.

It is not an unprimeable number, because it can be changed into a prime (13641431033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4233544 + ... + 4236764.

It is an arithmetic number, because the mean of its divisors is an integer number (271421280).

Almost surely, 2^13641431034 is an apocalyptic number.

13641431034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13641431034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370961920).

13641431034 is an abundant number, since it is smaller than the sum of its proper divisors (21100492806).

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

13641431034 is a wasteful number, since it uses less digits than its factorization.

13641431034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13641431034 its reverse (43013414631), we get a palindrome (56654845665).

The spelling of 13641431034 in words is "thirteen billion, six hundred forty-one million, four hundred thirty-one thousand, thirty-four".