1313334020 has 48 divisors (see below), whose sum is σ = 2860930800. Its totient is φ = 505827840.

The previous prime is 1313334013. The next prime is 1313334023. The reversal of 1313334020 is 204333131.

It can be written as a sum of positive squares in 8 ways, for example, as 141376 + 1313192644 = 376^2 + 36238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1313333983 and 1313334001.

It is not an unprimeable number, because it can be changed into a prime (1313334023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222710 + ... + 228530.

It is an arithmetic number, because the mean of its divisors is an integer number (59602725).

Almost surely, 2^1313334020 is an apocalyptic number.

1313334020 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 1313334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430465400).

1313334020 is an abundant number, since it is smaller than the sum of its proper divisors (1547596780).

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

1313334020 is a wasteful number, since it uses less digits than its factorization.

1313334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1313334020 is about 36239.9506070304. The cubic root of 1313334020 is about 1095.1116473942. Note that the first 3 decimals are identical.

Adding to 1313334020 its reverse (204333131), we get a palindrome (1517667151).

The spelling of 1313334020 in words is "one billion, three hundred thirteen million, three hundred thirty-four thousand, twenty".