1331413512 has 256 divisors, whose sum is σ = 4145541120. Its totient is φ = 350592000.

The previous prime is 1331413507. The next prime is 1331413571. The reversal of 1331413512 is 2153141331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7972453 + ... + 7972619.

It is an arithmetic number, because the mean of its divisors is an integer number (16193520).

Almost surely, 2^1331413512 is an apocalyptic number.

1331413512 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 1331413512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072770560).

1331413512 is an abundant number, since it is smaller than the sum of its proper divisors (2814127608).

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

1331413512 is a wasteful number, since it uses less digits than its factorization.

1331413512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 1331413512 is about 36488.5394610417. The cubic root of 1331413512 is about 1100.1139033566.

Adding to 1331413512 its reverse (2153141331), we get a palindrome (3484554843).

The spelling of 1331413512 in words is "one billion, three hundred thirty-one million, four hundred thirteen thousand, five hundred twelve".