1013102496 has 144 divisors (see below), whose sum is σ = 3466008000. Its totient is φ = 274212864.

The previous prime is 1013102381. The next prime is 1013102521. The reversal of 1013102496 is 6942013101.

1013102496 is a `hidden beast` number, since 101 + 310 + 249 + 6 = 666.

1013102496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25080 + ... + 51528.

It is an arithmetic number, because the mean of its divisors is an integer number (24069500).

Almost surely, 2^1013102496 is an apocalyptic number.

1013102496 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 1013102496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733004000).

1013102496 is an abundant number, since it is smaller than the sum of its proper divisors (2452905504).

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

1013102496 is a wasteful number, since it uses less digits than its factorization.

1013102496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26491 (or 26480 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1013102496 is about 31829.2710566862. The cubic root of 1013102496 is about 1004.3485612711.

Adding to 1013102496 its reverse (6942013101), we get a palindrome (7955115597).

The spelling of 1013102496 in words is "one billion, thirteen million, one hundred two thousand, four hundred ninety-six".