1013343100 has 144 divisors (see below), whose sum is σ = 2770822656. Its totient is φ = 312480000.

The previous prime is 1013343073. The next prime is 1013343101. The reversal of 1013343100 is 13433101.

It is a super-4 number, since 4×1013343100⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013343101) 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 47 ways as a sum of consecutive naturals, for example, 777049 + ... + 778351.

It is an arithmetic number, because the mean of its divisors is an integer number (19241824).

Almost surely, 2^1013343100 is an apocalyptic number.

1013343100 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 1013343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385411328).

1013343100 is an abundant number, since it is smaller than the sum of its proper divisors (1757479556).

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

1013343100 is a wasteful number, since it uses less digits than its factorization.

1013343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1013343100 is about 31833.0504350431. The cubic root of 1013343100 is about 1004.4280633138.

Adding to 1013343100 its reverse (13433101), we get a palindrome (1026776201).

Subtracting from 1013343100 its reverse (13433101), we obtain a palindrome (999909999).

The spelling of 1013343100 in words is "one billion, thirteen million, three hundred forty-three thousand, one hundred".