1320332013 has 192 divisors, whose sum is σ = 2796498432. Its totient is φ = 577290240.

The previous prime is 1320332011. The next prime is 1320332023. The reversal of 1320332013 is 3102330231.

1320332013 is a `hidden beast` number, since 1 + 320 + 332 + 0 + 13 = 666.

It is not a de Polignac number, because 1320332013 - 2¹ = 1320332011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320332011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5666545 + ... + 5666777.

It is an arithmetic number, because the mean of its divisors is an integer number (14565096).

Almost surely, 2^1320332013 is an apocalyptic number.

1320332013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1320332013 is an abundant number, since it is smaller than the sum of its proper divisors (1476166419).

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

1320332013 is a wasteful number, since it uses less digits than its factorization.

1320332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1320332013 is about 36336.3731404223. The cubic root of 1320332013 is about 1097.0532738411.

Adding to 1320332013 its reverse (3102330231), we get a palindrome (4422662244).

It can be divided in two parts, 1320 and 332013, that added together give a palindrome (333333).

The spelling of 1320332013 in words is "one billion, three hundred twenty million, three hundred thirty-two thousand, thirteen".