1313121000 has 128 divisors (see below), whose sum is σ = 4123042560. Its totient is φ = 347936000.

The previous prime is 1313120947. The next prime is 1313121011. The reversal of 1313121000 is 1213131.

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

It is a zygodrome in base 9.

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 31 ways as a sum of consecutive naturals, for example, 499690 + ... + 502310.

It is an arithmetic number, because the mean of its divisors is an integer number (32211270).

Almost surely, 2^1313121000 is an apocalyptic number.

1313121000 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 1313121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061521280).

1313121000 is an abundant number, since it is smaller than the sum of its proper divisors (2809921560).

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

1313121000 is a wasteful number, since it uses less digits than its factorization.

1313121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2798 counting only the distinct ones).

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

The square root of 1313121000 is about 36237.0114661792. The cubic root of 1313121000 is about 1095.0524359285.

Adding to 1313121000 its reverse (1213131), we get a palindrome (1314334131).

The spelling of 1313121000 in words is "one billion, three hundred thirteen million, one hundred twenty-one thousand".