1013041300100 has 36 divisors (see below), whose sum is σ = 2213053342500. Its totient is φ = 402496940160.

The previous prime is 1013041300099. The next prime is 1013041300123. The reversal of 1013041300100 is 10031403101.

It can be written as a sum of positive squares in 6 ways, for example, as 1451914816 + 1011589385284 = 38104^2 + 1005778^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33979775 + ... + 34009574.

Almost surely, 2^{1013041300100} is an apocalyptic number.

1013041300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013041300100 is an abundant number, since it is smaller than the sum of its proper divisors (1200012042400).

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

1013041300100 is a wasteful number, since it uses less digits than its factorization.

1013041300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67989512 (or 67989505 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1013041300100 its reverse (10031403101), we get a palindrome (1023072703201).

The spelling of 1013041300100 in words is "one trillion, thirteen billion, forty-one million, three hundred thousand, one hundred".