1013633105 has 16 divisors (see below), whose sum is σ = 1239497040. Its totient is φ = 795598848.

The previous prime is 1013633087. The next prime is 1013633107. The reversal of 1013633105 is 5013363101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79780624 + 933852481 = 8932^2 + 30559^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013633105 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013633107) 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, 63251 + ... + 77639.

It is an arithmetic number, because the mean of its divisors is an integer number (77468565).

Almost surely, 2^1013633105 is an apocalyptic number.

It is an amenable number.

1013633105 is a deficient number, since it is larger than the sum of its proper divisors (225863935).

1013633105 is a wasteful number, since it uses less digits than its factorization.

1013633105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14660.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 1013633105 is about 31837.6052020249. The cubic root of 1013633105 is about 1004.5238720540.

Adding to 1013633105 its reverse (5013363101), we get a palindrome (6026996206).

The spelling of 1013633105 in words is "one billion, thirteen million, six hundred thirty-three thousand, one hundred five".