13264103153364 has 96 divisors (see below), whose sum is σ = 35893461811200. Its totient is φ = 3733959790080.

The previous prime is 13264103153359. The next prime is 13264103153393. The reversal of 13264103153364 is 46335130146231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1092204 + ... + 5265084.

It is an arithmetic number, because the mean of its divisors is an integer number (373890227200).

Almost surely, 2^{13264103153364} is an apocalyptic number.

13264103153364 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 13264103153364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946730905600).

13264103153364 is an abundant number, since it is smaller than the sum of its proper divisors (22629358657836).

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

13264103153364 is a wasteful number, since it uses less digits than its factorization.

13264103153364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173453 (or 4173451 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 13264103153364 its reverse (46335130146231), we get a palindrome (59599233299595).

The spelling of 13264103153364 in words is "thirteen trillion, two hundred sixty-four billion, one hundred three million, one hundred fifty-three thousand, three hundred sixty-four".