1313213000 has 96 divisors (see below), whose sum is σ = 3377981880. Its totient is φ = 477488000.

The previous prime is 1313212993. The next prime is 1313213021. The reversal of 1313213000 is 3123131.

It can be written as a sum of positive squares in 4 ways, for example, as 408767524 + 904445476 = 20218^2 + 30074^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115574 + ... + 126426.

Almost surely, 2^1313213000 is an apocalyptic number.

1313213000 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 1313213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688990940).

1313213000 is an abundant number, since it is smaller than the sum of its proper divisors (2064768880).

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

1313213000 is a wasteful number, since it uses less digits than its factorization.

1313213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1313213000 is about 36238.2808643015. The cubic root of 1313213000 is about 1095.0780092183.

Adding to 1313213000 its reverse (3123131), we get a palindrome (1316336131).

The spelling of 1313213000 in words is "one billion, three hundred thirteen million, two hundred thirteen thousand".