13213311672 has 64 divisors (see below), whose sum is σ = 36095155200. Its totient is φ = 3997495040.

The previous prime is 13213311667. The next prime is 13213311701. The reversal of 13213311672 is 27611331231.

It is a super-2 number, since 2×13213311672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122329 + ... + 203447.

It is an arithmetic number, because the mean of its divisors is an integer number (563986800).

Almost surely, 2^13213311672 is an apocalyptic number.

13213311672 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 13213311672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18047577600).

13213311672 is an abundant number, since it is smaller than the sum of its proper divisors (22881843528).

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

13213311672 is a wasteful number, since it uses less digits than its factorization.

13213311672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81756 (or 81752 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The spelling of 13213311672 in words is "thirteen billion, two hundred thirteen million, three hundred eleven thousand, six hundred seventy-two".