1313623620 has 72 divisors (see below), whose sum is σ = 4005410136. Its totient is φ = 348475392.

The previous prime is 1313623607. The next prime is 1313623627. The reversal of 1313623620 is 263263131.

It is a happy number.

1313623620 is a `hidden beast` number, since 1 + 3 + 1 + 36 + 2 + 3 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53231616 + 1260392004 = 7296^2 + 35502^2 .

It is not an unprimeable number, because it can be changed into a prime (1313623627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15834 + ... + 53646.

Almost surely, 2^1313623620 is an apocalyptic number.

1313623620 is a gapful number since it is divisible by the number (10) 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 1313623620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002705068).

1313623620 is an abundant number, since it is smaller than the sum of its proper divisors (2691786516).

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

1313623620 is a wasteful number, since it uses less digits than its factorization.

1313623620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38021 (or 38016 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1313623620 is about 36243.9459772249. The cubic root of 1313623620 is about 1095.1921349220.

Adding to 1313623620 its reverse (263263131), we get a palindrome (1576886751).

The spelling of 1313623620 in words is "one billion, three hundred thirteen million, six hundred twenty-three thousand, six hundred twenty".