1301721000 has 128 divisors (see below), whose sum is σ = 4192680960. Its totient is φ = 335904000.

The previous prime is 1301720929. The next prime is 1301721007. The reversal of 1301721000 is 1271031.

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

It is not an unprimeable number, because it can be changed into a prime (1301721007) 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 31 ways as a sum of consecutive naturals, for example, 86002 + ... + 99998.

It is an arithmetic number, because the mean of its divisors is an integer number (32755320).

Almost surely, 2^1301721000 is an apocalyptic number.

1301721000 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 1301721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096340480).

1301721000 is an abundant number, since it is smaller than the sum of its proper divisors (2890959960).

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

1301721000 is a wasteful number, since it uses less digits than its factorization.

1301721000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14052 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1301721000 is about 36079.3708370864. The cubic root of 1301721000 is about 1091.8742827807.

Adding to 1301721000 its reverse (1271031), we get a palindrome (1302992031).

The spelling of 1301721000 in words is "one billion, three hundred one million, seven hundred twenty-one thousand".