13220505312 has 96 divisors (see below), whose sum is σ = 39805258752. Its totient is φ = 3763597824.

The previous prime is 13220505289. The next prime is 13220505329. The reversal of 13220505312 is 21350502231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13220505312³ (a number of 31 digits) contains 333 as substring.

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

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, 150633 + ... + 221655.

It is an arithmetic number, because the mean of its divisors is an integer number (414638112).

Almost surely, 2^13220505312 is an apocalyptic number.

13220505312 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 13220505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19902629376).

13220505312 is an abundant number, since it is smaller than the sum of its proper divisors (26584753440).

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

13220505312 is a wasteful number, since it uses less digits than its factorization.

13220505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71320 (or 71312 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 13220505312 in words is "thirteen billion, two hundred twenty million, five hundred five thousand, three hundred twelve".