1013312300 has 288 divisors, whose sum is σ = 3023806464. Its totient is φ = 284544000.

The previous prime is 1013312273. The next prime is 1013312309. The reversal of 1013312300 is 32133101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1013312309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5305205 + ... + 5305395.

It is an arithmetic number, because the mean of its divisors is an integer number (10499328).

Almost surely, 2^1013312300 is an apocalyptic number.

1013312300 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 1013312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511903232).

1013312300 is an abundant number, since it is smaller than the sum of its proper divisors (2010494164).

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

1013312300 is a wasteful number, since it uses less digits than its factorization.

1013312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1013312300 is about 31832.5666574343. The cubic root of 1013312300 is about 1004.4178868666.

Adding to 1013312300 its reverse (32133101), we get a palindrome (1045445401).

It can be divided in two parts, 1013 and 312300, that added together give a palindrome (313313).

The spelling of 1013312300 in words is "one billion, thirteen million, three hundred twelve thousand, three hundred".