1313021010 has 128 divisors (see below), whose sum is σ = 3979321344. Its totient is φ = 270167040.

The previous prime is 1313020949. The next prime is 1313021051. The reversal of 1313021010 is 101203131.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 74115 + ... + 90105.

It is an arithmetic number, because the mean of its divisors is an integer number (31088448).

Almost surely, 2^1313021010 is an apocalyptic number.

1313021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989660672).

1313021010 is an abundant number, since it is smaller than the sum of its proper divisors (2666300334).

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

1313021010 is a wasteful number, since it uses less digits than its factorization.

1313021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1313021010 is about 36235.6317731594. The cubic root of 1313021010 is about 1095.0246402996.

Adding to 1313021010 its reverse (101203131), we get a palindrome (1414224141).

The spelling of 1313021010 in words is "one billion, three hundred thirteen million, twenty-one thousand, ten".