1301131300 has 108 divisors (see below), whose sum is σ = 3311131824. Its totient is φ = 442478400.

The previous prime is 1301131277. The next prime is 1301131319. The reversal of 1301131300 is 31311031.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 640887 + ... + 642913.

It is an arithmetic number, because the mean of its divisors is an integer number (30658628).

Almost surely, 2^1301131300 is an apocalyptic number.

1301131300 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 1301131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655565912).

1301131300 is an abundant number, since it is smaller than the sum of its proper divisors (2010000524).

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

1301131300 is a wasteful number, since it uses less digits than its factorization.

1301131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1301131300 is about 36071.1976513118. The cubic root of 1301131300 is about 1091.7093791600.

Adding to 1301131300 its reverse (31311031), we get a palindrome (1332442331).

The spelling of 1301131300 in words is "one billion, three hundred one million, one hundred thirty-one thousand, three hundred".