13319671153152 has 960 divisors, whose sum is σ = 45617411727360. Its totient is φ = 3378010521600.

The previous prime is 13319671153097. The next prime is 13319671153189. The reversal of 13319671153152 is 25135117691331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10083020652 + ... + 10083021972.

It is an arithmetic number, because the mean of its divisors is an integer number (47518137216).

Almost surely, 2^{13319671153152} is an apocalyptic number.

13319671153152 is a gapful number since it is divisible by the number (12) 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 13319671153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808705863680).

13319671153152 is an abundant number, since it is smaller than the sum of its proper divisors (32297740574208).

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

13319671153152 is a wasteful number, since it uses less digits than its factorization.

13319671153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1556 counting only the distinct ones).

The product of its digits is 510300, while the sum is 48.

The spelling of 13319671153152 in words is "thirteen trillion, three hundred nineteen billion, six hundred seventy-one million, one hundred fifty-three thousand, one hundred fifty-two".