1013402016 has 120 divisors (see below), whose sum is σ = 3251422944. Its totient is φ = 307082880.

The previous prime is 1013402003. The next prime is 1013402021. The reversal of 1013402016 is 6102043101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1013402016.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10741 + ... + 46283.

Almost surely, 2^1013402016 is an apocalyptic number.

1013402016 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 1013402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625711472).

1013402016 is an abundant number, since it is smaller than the sum of its proper divisors (2238020928).

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

1013402016 is a wasteful number, since it uses less digits than its factorization.

1013402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35576 (or 35559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013402016 is about 31833.9758120157. The cubic root of 1013402016 is about 1004.4475288292.

Adding to 1013402016 its reverse (6102043101), we get a palindrome (7115445117).

The spelling of 1013402016 in words is "one billion, thirteen million, four hundred two thousand, sixteen".