1013333101 has 16 divisors (see below), whose sum is σ = 1128028608. Its totient is φ = 902592000.

The previous prime is 1013333089. The next prime is 1013333117.

1013333101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1013333101 - 2²⁵ = 979778669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013333801) 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 15 ways as a sum of consecutive naturals, for example, 103066 + ... + 112468.

It is an arithmetic number, because the mean of its divisors is an integer number (70501788).

Almost surely, 2^1013333101 is an apocalyptic number.

1013333101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013333101 is a deficient number, since it is larger than the sum of its proper divisors (114695507).

1013333101 is a wasteful number, since it uses less digits than its factorization.

1013333101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1013333101 is about 31832.8933809040. The cubic root of 1013333101 is about 1004.4247596255.

It can be divided in two parts, 10133 and 33101, that added together give a palindrome (43234).

The spelling of 1013333101 in words is "one billion, thirteen million, three hundred thirty-three thousand, one hundred one".