1013130100 has 18 divisors (see below), whose sum is σ = 2198492534. Its totient is φ = 405252000.

The previous prime is 1013130077. The next prime is 1013130137. The reversal of 1013130100 is 10313101.

1013130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 234273636 + 778856464 = 15306^2 + 27908^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5065551 + ... + 5065750.

Almost surely, 2^1013130100 is an apocalyptic number.

1013130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013130100 is an abundant number, since it is smaller than the sum of its proper divisors (1185362434).

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

1013130100 is a wasteful number, since it uses less digits than its factorization.

1013130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131315 (or 10131308 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1013130100 is about 31829.7046797484. The cubic root of 1013130100 is about 1004.3576830155.

Adding to 1013130100 its reverse (10313101), we get a palindrome (1023443201).

The spelling of 1013130100 in words is "one billion, thirteen million, one hundred thirty thousand, one hundred".