1013220312 has 64 divisors (see below), whose sum is σ = 2741007360. Its totient is φ = 310262400.

The previous prime is 1013220301. The next prime is 1013220317. The reversal of 1013220312 is 2130223101.

It is a junction number, because it is equal to n+sod(n) for n = 1013220291 and 1013220300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013220317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58137 + ... + 73527.

It is an arithmetic number, because the mean of its divisors is an integer number (42828240).

Almost surely, 2^1013220312 is an apocalyptic number.

1013220312 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 1013220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370503680).

1013220312 is an abundant number, since it is smaller than the sum of its proper divisors (1727787048).

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

1013220312 is a wasteful number, since it uses less digits than its factorization.

1013220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15624 (or 15620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1013220312 is about 31831.1217521469. The cubic root of 1013220312 is about 1004.3874924237.

Adding to 1013220312 its reverse (2130223101), we get a palindrome (3143443413).

The spelling of 1013220312 in words is "one billion, thirteen million, two hundred twenty thousand, three hundred twelve".