13311311412 has 96 divisors (see below), whose sum is σ = 36425217024. Its totient is φ = 3704083200.

The previous prime is 13311311369. The next prime is 13311311413. The reversal of 13311311412 is 21411311331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311311413) 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, 2211487 + ... + 2217497.

It is an arithmetic number, because the mean of its divisors is an integer number (379429344).

Almost surely, 2^13311311412 is an apocalyptic number.

13311311412 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 13311311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18212608512).

13311311412 is an abundant number, since it is smaller than the sum of its proper divisors (23113905612).

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

13311311412 is a wasteful number, since it uses less digits than its factorization.

13311311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6707 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 13311311412 its reverse (21411311331), we get a palindrome (34722622743).

The spelling of 13311311412 in words is "thirteen billion, three hundred eleven million, three hundred eleven thousand, four hundred twelve".