1013100420 has 96 divisors (see below), whose sum is σ = 2896266240. Its totient is φ = 264539520.

The previous prime is 1013100419. The next prime is 1013100427. The reversal of 1013100420 is 240013101.

It is a happy number.

1013100420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013100420² = 2052744922008352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1013100396 and 1013100405.

It is not an unprimeable number, because it can be changed into a prime (1013100427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693651 + ... + 695109.

It is an arithmetic number, because the mean of its divisors is an integer number (30169440).

Almost surely, 2^1013100420 is an apocalyptic number.

1013100420 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 1013100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448133120).

1013100420 is an abundant number, since it is smaller than the sum of its proper divisors (1883165820).

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

1013100420 is a wasteful number, since it uses less digits than its factorization.

1013100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1013100420 is about 31829.2384451780. The cubic root of 1013100420 is about 1004.3478752500.

Adding to 1013100420 its reverse (240013101), we get a palindrome (1253113521).

The spelling of 1013100420 in words is "one billion, thirteen million, one hundred thousand, four hundred twenty".