1301441100 has 216 divisors, whose sum is σ = 4059771408. Its totient is φ = 321753600.

The previous prime is 1301441051. The next prime is 1301441111. The reversal of 1301441100 is 11441031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301441100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6606202 + ... + 6606398.

It is an arithmetic number, because the mean of its divisors is an integer number (18795238).

Almost surely, 2^1301441100 is an apocalyptic number.

1301441100 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 1301441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029885704).

1301441100 is an abundant number, since it is smaller than the sum of its proper divisors (2758330308).

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

1301441100 is a wasteful number, since it uses less digits than its factorization.

1301441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1301441100 is about 36075.4916806410. The cubic root of 1301441100 is about 1091.7960177968.

Adding to 1301441100 its reverse (11441031), we get a palindrome (1312882131).

The spelling of 1301441100 in words is "one billion, three hundred one million, four hundred forty-one thousand, one hundred".