1013034312 has 96 divisors (see below), whose sum is σ = 2795715000. Its totient is φ = 331330560.

The previous prime is 1013034311. The next prime is 1013034329. The reversal of 1013034312 is 2134303101.

It can be written as a sum of positive squares in 4 ways, for example, as 596629476 + 416404836 = 24426^2 + 20406^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1013034311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954262 + ... + 955322.

Almost surely, 2^1013034312 is an apocalyptic number.

1013034312 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 1013034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397857500).

1013034312 is an abundant number, since it is smaller than the sum of its proper divisors (1782680688).

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

1013034312 is a wasteful number, since it uses less digits than its factorization.

1013034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1304 counting only the distinct ones).

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

The square root of 1013034312 is about 31828.1999491017. The cubic root of 1013034312 is about 1004.3260291519.

Adding to 1013034312 its reverse (2134303101), we get a palindrome (3147337413).

The spelling of 1013034312 in words is "one billion, thirteen million, thirty-four thousand, three hundred twelve".