1013012000100 has 108 divisors (see below), whose sum is σ = 3227282958900. Its totient is φ = 265708051200.

The previous prime is 1013012000093. The next prime is 1013012000113. The reversal of 1013012000100 is 10002103101.

It can be written as a sum of positive squares in 6 ways, for example, as 43137628416 + 969874371684 = 207696^2 + 984822^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9171075 + ... + 9280874.

Almost surely, 2^{1013012000100} is an apocalyptic number.

1013012000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013012000100 is an abundant number, since it is smaller than the sum of its proper divisors (2214270958800).

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

1013012000100 is a wasteful number, since it uses less digits than its factorization.

1013012000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18452030 (or 18452020 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1013012000100 its reverse (10002103101), we get a palindrome (1023014103201).

The spelling of 1013012000100 in words is "one trillion, thirteen billion, twelve million, one hundred", and thus it is an aban number.