1300031100 has 144 divisors (see below), whose sum is σ = 4217334240. Its totient is φ = 343526400.

The previous prime is 1300031077. The next prime is 1300031101. The reversal of 1300031100 is 11300031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300031101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302970 + ... + 307230.

Almost surely, 2^1300031100 is an apocalyptic number.

1300031100 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 1300031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108667120).

1300031100 is an abundant number, since it is smaller than the sum of its proper divisors (2917303140).

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

1300031100 is a wasteful number, since it uses less digits than its factorization.

1300031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1300031100 is about 36055.9440314631. The cubic root of 1300031100 is about 1091.4015861503.

Adding to 1300031100 its reverse (11300031), we get a palindrome (1311331131).

It can be divided in two parts, 13000 and 31100, that added together give a square (44100 = 210²).

The spelling of 1300031100 in words is "one billion, three hundred million, thirty-one thousand, one hundred".