1013100 has 72 divisors (see below), whose sum is σ = 3208128. Its totient is φ = 244800.

The previous prime is 1013063. The next prime is 1013143. The reversal of 1013100 is 13101.

It is a super-2 number, since 2×1013100² = 2052743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3147 + ... + 3453.

2^1013100 is an apocalyptic number.

1013100 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 1013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604064).

1013100 is an abundant number, since it is smaller than the sum of its proper divisors (2195028).

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

1013100 is a wasteful number, since it uses less digits than its factorization.

1013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1013100 is about 1006.5286881157. The cubic root of 1013100 is about 100.4347736460.

Adding to 1013100 its reverse (13101), we get a palindrome (1026201).

Subtracting from 1013100 its reverse (13101), we obtain a palindrome (999999).

The spelling of 1013100 in words is "one million, thirteen thousand, one hundred".