1313221032 has 128 divisors (see below), whose sum is σ = 3952713600. Its totient is φ = 402361344.

The previous prime is 1313221027. The next prime is 1313221067. The reversal of 1313221032 is 2301223131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313220996 and 1313221014.

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, 153738 + ... + 162054.

It is an arithmetic number, because the mean of its divisors is an integer number (30880575).

Almost surely, 2^1313221032 is an apocalyptic number.

1313221032 is a gapful number since it is divisible by the number (12) 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 1313221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976356800).

1313221032 is an abundant number, since it is smaller than the sum of its proper divisors (2639492568).

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

1313221032 is a wasteful number, since it uses less digits than its factorization.

1313221032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313221032 is about 36238.3916861662. The cubic root of 1313221032 is about 1095.0802418210.

Adding to 1313221032 its reverse (2301223131), we get a palindrome (3614444163).

The spelling of 1313221032 in words is "one billion, three hundred thirteen million, two hundred twenty-one thousand, thirty-two".