1013985100 has 36 divisors (see below), whose sum is σ = 2207921184. Its totient is φ = 404198080.

The previous prime is 1013985073. The next prime is 1013985101. The reversal of 1013985100 is 15893101.

1013985100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1013985100³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013985101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11997 + ... + 46603.

It is an arithmetic number, because the mean of its divisors is an integer number (61331144).

Almost surely, 2^1013985100 is an apocalyptic number.

1013985100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013985100 is an abundant number, since it is smaller than the sum of its proper divisors (1193936084).

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

1013985100 is a wasteful number, since it uses less digits than its factorization.

1013985100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34914 (or 34907 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 1013985100 is about 31843.1326976477. The cubic root of 1013985100 is about 1004.6401358374.

The spelling of 1013985100 in words is "one billion, thirteen million, nine hundred eighty-five thousand, one hundred".