1301000100 has 72 divisors (see below), whose sum is σ = 3809652000. Its totient is φ = 342746880.

The previous prime is 1301000093. The next prime is 1301000101. The reversal of 1301000100 is 10001031.

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 not an unprimeable number, because it can be changed into a prime (1301000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225 + ... + 51024.

Almost surely, 2^1301000100 is an apocalyptic number.

1301000100 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 1301000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904826000).

1301000100 is an abundant number, since it is smaller than the sum of its proper divisors (2508651900).

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

1301000100 is a wasteful number, since it uses less digits than its factorization.

1301000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52349 (or 52342 counting only the distinct ones).

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

The square root of 1301000100 is about 36069.3789799603. The cubic root of 1301000100 is about 1091.6726836359.

Adding to 1301000100 its reverse (10001031), we get a palindrome (1311001131).

The spelling of 1301000100 in words is "one billion, three hundred one million, one hundred", and thus it is an aban number.