1013800100 has 72 divisors (see below), whose sum is σ = 2452030560. Its totient is φ = 361566720.

The previous prime is 1013800093. The next prime is 1013800169. The reversal of 1013800100 is 10083101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16607 + ... + 47993.

It is an arithmetic number, because the mean of its divisors is an integer number (34055980).

Almost surely, 2^1013800100 is an apocalyptic number.

1013800100 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 1013800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226015280).

1013800100 is an abundant number, since it is smaller than the sum of its proper divisors (1438230460).

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

1013800100 is a wasteful number, since it uses less digits than its factorization.

1013800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31437 (or 31430 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1013800100 is about 31840.2277001908. The cubic root of 1013800100 is about 1004.5790337793.

Adding to 1013800100 its reverse (10083101), we get a palindrome (1023883201).

The spelling of 1013800100 in words is "one billion, thirteen million, eight hundred thousand, one hundred".