1320131456 has 64 divisors (see below), whose sum is σ = 3019591680. Its totient is φ = 563148288.

The previous prime is 1320131443. The next prime is 1320131467. The reversal of 1320131456 is 6541310231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1320131456² = 3485494122241359872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196505 + ... + 203111.

It is an arithmetic number, because the mean of its divisors is an integer number (47181120).

Almost surely, 2^1320131456 is an apocalyptic number.

1320131456 is a gapful number since it is divisible by the number (16) 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 1320131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509795840).

1320131456 is an abundant number, since it is smaller than the sum of its proper divisors (1699460224).

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

1320131456 is an equidigital number, since it uses as much as digits as its factorization.

1320131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1320131456 is about 36333.6133077898. The cubic root of 1320131456 is about 1096.9977239611.

Adding to 1320131456 its reverse (6541310231), we get a palindrome (7861441687).

The spelling of 1320131456 in words is "one billion, three hundred twenty million, one hundred thirty-one thousand, four hundred fifty-six".