1331213416 has 64 divisors (see below), whose sum is σ = 2836612800. Its totient is φ = 580608000.

The previous prime is 1331213381. The next prime is 1331213423. The reversal of 1331213416 is 6143121331.

It is a super-3 number, since 3×1331213416³ (a number of 28 digits) contains 333 as substring.

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, 1266091 + ... + 1267141.

It is an arithmetic number, because the mean of its divisors is an integer number (44322075).

Almost surely, 2^1331213416 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 1331213416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418306400).

1331213416 is an abundant number, since it is smaller than the sum of its proper divisors (1505399384).

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

1331213416 is a wasteful number, since it uses less digits than its factorization.

1331213416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1726 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 1331213416 is about 36485.7974559965. The cubic root of 1331213416 is about 1100.0587891445.

Adding to 1331213416 its reverse (6143121331), we get a palindrome (7474334747).

The spelling of 1331213416 in words is "one billion, three hundred thirty-one million, two hundred thirteen thousand, four hundred sixteen".