1013381104 has 80 divisors (see below), whose sum is σ = 2133345600. Its totient is φ = 464887808.

The previous prime is 1013381099. The next prime is 1013381107. The reversal of 1013381104 is 4011833101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013381107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2870592 + ... + 2870944.

It is an arithmetic number, because the mean of its divisors is an integer number (26666820).

Almost surely, 2^1013381104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013381104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066672800).

1013381104 is an abundant number, since it is smaller than the sum of its proper divisors (1119964496).

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

1013381104 is a wasteful number, since it uses less digits than its factorization.

1013381104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1013381104 is about 31833.6473562173. The cubic root of 1013381104 is about 1004.4406197083.

The spelling of 1013381104 in words is "one billion, thirteen million, three hundred eighty-one thousand, one hundred four".