1313211000 has 128 divisors (see below), whose sum is σ = 4136520960. Its totient is φ = 346832000.

The previous prime is 1313210999. The next prime is 1313211001. The reversal of 1313211000 is 1123131.

It is an interprime number because it is at equal distance from previous prime (1313210999) and next prime (1313211001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313211001) 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, 318955 + ... + 323045.

It is an arithmetic number, because the mean of its divisors is an integer number (32316570).

Almost surely, 2^1313211000 is an apocalyptic number.

1313211000 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 1313211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068260480).

1313211000 is an abundant number, since it is smaller than the sum of its proper divisors (2823309960).

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

1313211000 is a wasteful number, since it uses less digits than its factorization.

1313211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4208 counting only the distinct ones).

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

The square root of 1313211000 is about 36238.2532691630. The cubic root of 1313211000 is about 1095.0774532899.

Adding to 1313211000 its reverse (1123131), we get a palindrome (1314334131).

The spelling of 1313211000 in words is "one billion, three hundred thirteen million, two hundred eleven thousand".