13317070272 has 336 divisors, whose sum is σ = 41005304832. Its totient is φ = 3810048000.

The previous prime is 13317070259. The next prime is 13317070297. The reversal of 13317070272 is 27207071331.

It is a super-3 number, since 3×13317070272³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent 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, 324806572 + ... + 324806612.

Almost surely, 2^13317070272 is an apocalyptic number.

13317070272 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 13317070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20502652416).

13317070272 is an abundant number, since it is smaller than the sum of its proper divisors (27688234560).

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

13317070272 is an equidigital number, since it uses as much as digits as its factorization.

13317070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The spelling of 13317070272 in words is "thirteen billion, three hundred seventeen million, seventy thousand, two hundred seventy-two".