1013181696 has 252 divisors, whose sum is σ = 3116558340. Its totient is φ = 328458240.

The previous prime is 1013181677. The next prime is 1013181713. The reversal of 1013181696 is 6961813101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 914457600 = 9936^2 + 30240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1013181696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11384020 + ... + 11384108.

It is an arithmetic number, because the mean of its divisors is an integer number (12367295).

Almost surely, 2^1013181696 is an apocalyptic number.

1013181696 is a gapful number since it is divisible by the number (16) 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 1013181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558279170).

1013181696 is an abundant number, since it is smaller than the sum of its proper divisors (2103376644).

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

1013181696 is an frugal number, since it uses more digits than its factorization.

1013181696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1013181696 is about 31830.5151701948. The cubic root of 1013181696 is about 1004.3747324742.

Adding to 1013181696 its reverse (6961813101), we get a palindrome (7974994797).

The spelling of 1013181696 in words is "one billion, thirteen million, one hundred eighty-one thousand, six hundred ninety-six".