1313412010 has 64 divisors (see below), whose sum is σ = 2639734272. Its totient is φ = 467951616.

The previous prime is 1313412007. The next prime is 1313412017. The reversal of 1313412010 is 102143131.

1313412010 = T₅₀ + T₅₁ + ... + T₁₉₈₉.

It is a super-2 number, since 2×1313412010² = 3450102216024480200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313412017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377539 + ... + 381001.

It is an arithmetic number, because the mean of its divisors is an integer number (41245848).

Almost surely, 2^1313412010 is an apocalyptic number.

1313412010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313412010 is an abundant number, since it is smaller than the sum of its proper divisors (1326322262).

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

1313412010 is a wasteful number, since it uses less digits than its factorization.

1313412010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1313412010 is about 36241.0266134943. The cubic root of 1313412010 is about 1095.1333240496.

Adding to 1313412010 its reverse (102143131), we get a palindrome (1415555141).

The spelling of 1313412010 in words is "one billion, three hundred thirteen million, four hundred twelve thousand, ten".