1013420100 has 288 divisors, whose sum is σ = 3849753600. Its totient is φ = 199411200.

The previous prime is 1013420071. The next prime is 1013420113. The reversal of 1013420100 is 10243101.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 437746 + ... + 440054.

It is an arithmetic number, because the mean of its divisors is an integer number (13367200).

Almost surely, 2^1013420100 is an apocalyptic number.

1013420100 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 1013420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924876800).

1013420100 is an abundant number, since it is smaller than the sum of its proper divisors (2836333500).

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

1013420100 is a wasteful number, since it uses less digits than its factorization.

1013420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2356 counting only the distinct ones).

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

The square root of 1013420100 is about 31834.2598469008. The cubic root of 1013420100 is about 1004.4535035298.

Adding to 1013420100 its reverse (10243101), we get a palindrome (1023663201).

The spelling of 1013420100 in words is "one billion, thirteen million, four hundred twenty thousand, one hundred".