1310213000 has 128 divisors (see below), whose sum is σ = 3184272000. Its totient is φ = 504275200.

The previous prime is 1310212999. The next prime is 1310213087. The reversal of 1310213000 is 3120131.

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 31 ways as a sum of consecutive naturals, for example, 3126791 + ... + 3127209.

It is an arithmetic number, because the mean of its divisors is an integer number (24877125).

Almost surely, 2^1310213000 is an apocalyptic number.

1310213000 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 1310213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592136000).

1310213000 is an abundant number, since it is smaller than the sum of its proper divisors (1874059000).

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

1310213000 is a wasteful number, since it uses less digits than its factorization.

1310213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1310213000 is about 36196.8645050922. The cubic root of 1310213000 is about 1094.2434812618.

Adding to 1310213000 its reverse (3120131), we get a palindrome (1313333131).

The spelling of 1310213000 in words is "one billion, three hundred ten million, two hundred thirteen thousand".