13310000312 has 128 divisors (see below), whose sum is σ = 30443212800. Its totient is φ = 5334916608.

The previous prime is 13310000311. The next prime is 13310000323. The reversal of 13310000312 is 21300001331.

It is a super-2 number, since 2×13310000312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310000311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7860938 + ... + 7862630.

It is an arithmetic number, because the mean of its divisors is an integer number (237837600).

Almost surely, 2^13310000312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221606400).

13310000312 is an abundant number, since it is smaller than the sum of its proper divisors (17133212488).

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

13310000312 is a wasteful number, since it uses less digits than its factorization.

13310000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13310000312 its reverse (21300001331), we get a palindrome (34610001643).

The spelling of 13310000312 in words is "thirteen billion, three hundred ten million, three hundred twelve", and thus it is an aban number.