1013011314 has 32 divisors (see below), whose sum is σ = 2318015616. Its totient is φ = 289111680.

The previous prime is 1013011303. The next prime is 1013011319. The reversal of 1013011314 is 4131103101.

1013011314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1013011293 and 1013011302.

It is not an unprimeable number, because it can be changed into a prime (1013011319) 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, 26484 + ... + 52224.

It is an arithmetic number, because the mean of its divisors is an integer number (72437988).

Almost surely, 2^1013011314 is an apocalyptic number.

1013011314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1013011314 is an abundant number, since it is smaller than the sum of its proper divisors (1305004302).

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

1013011314 is a wasteful number, since it uses less digits than its factorization.

1013011314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26690.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1013011314 is about 31827.8386636605. The cubic root of 1013011314 is about 1004.3184289931.

Adding to 1013011314 its reverse (4131103101), we get a palindrome (5144114415).

The spelling of 1013011314 in words is "one billion, thirteen million, eleven thousand, three hundred fourteen".