1337313340 has 48 divisors (see below), whose sum is σ = 3162507264. Its totient is φ = 470606400.

The previous prime is 1337313217. The next prime is 1337313361. The reversal of 1337313340 is 433137331.

It is a junction number, because it is equal to n+sod(n) for n = 1337313299 and 1337313308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91224 + ... + 104863.

It is an arithmetic number, because the mean of its divisors is an integer number (65885568).

Almost surely, 2^1337313340 is an apocalyptic number.

1337313340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1337313340 is an abundant number, since it is smaller than the sum of its proper divisors (1825193924).

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

1337313340 is a wasteful number, since it uses less digits than its factorization.

1337313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196138 (or 196136 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 28.

The square root of 1337313340 is about 36569.2950437932. The cubic root of 1337313340 is about 1101.7364694731.

The spelling of 1337313340 in words is "one billion, three hundred thirty-seven million, three hundred thirteen thousand, three hundred forty".