13100431344 has 320 divisors, whose sum is σ = 46673679360. Its totient is φ = 3055656960.

The previous prime is 13100431343. The next prime is 13100431363. The reversal of 13100431344 is 44313400131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100431343) 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, 1774092 + ... + 1781460.

It is an arithmetic number, because the mean of its divisors is an integer number (145855248).

Almost surely, 2^13100431344 is an apocalyptic number.

13100431344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336839680).

13100431344 is an abundant number, since it is smaller than the sum of its proper divisors (33573248016).

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

13100431344 is a wasteful number, since it uses less digits than its factorization.

13100431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13100431344 its reverse (44313400131), we get a palindrome (57413831475).

It can be divided in two parts, 13100 and 431344, that added together give a palindrome (444444).

The spelling of 13100431344 in words is "thirteen billion, one hundred million, four hundred thirty-one thousand, three hundred forty-four".