1013030100 has 108 divisors (see below), whose sum is σ = 3184976704. Its totient is φ = 269317440.

The previous prime is 1013030093. The next prime is 1013030107. The reversal of 1013030100 is 10303101.

1013030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1013030093) and next prime (1013030107).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013030107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328767 + ... + 331833.

Almost surely, 2^1013030100 is an apocalyptic number.

1013030100 is a gapful number since it is divisible by the number (10) 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 1013030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592488352).

1013030100 is an abundant number, since it is smaller than the sum of its proper divisors (2171946604).

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

1013030100 is a wasteful number, since it uses less digits than its factorization.

1013030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3444 counting only the distinct ones).

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

The square root of 1013030100 is about 31828.1337812948. The cubic root of 1013030100 is about 1004.3246372191.

Adding to 1013030100 its reverse (10303101), we get a palindrome (1023333201).

The spelling of 1013030100 in words is "one billion, thirteen million, thirty thousand, one hundred".