1301413321 has 8 divisors (see below), whose sum is σ = 1439401544. Its totient is φ = 1168836480.

The previous prime is 1301413307. The next prime is 1301413331. The reversal of 1301413321 is 1233141031.

It can be written as a sum of positive squares in 4 ways, for example, as 118810000 + 1182603321 = 10900^2 + 34389^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1301413321 - 2¹⁹ = 1300889033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1301413331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1352340 + ... + 1353301.

It is an arithmetic number, because the mean of its divisors is an integer number (179925193).

Almost surely, 2^1301413321 is an apocalyptic number.

It is an amenable number.

1301413321 is a deficient number, since it is larger than the sum of its proper divisors (137988223).

1301413321 is a wasteful number, since it uses less digits than its factorization.

1301413321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705691.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1301413321 is about 36075.1066665090. The cubic root of 1301413321 is about 1091.7882496857.

Adding to 1301413321 its reverse (1233141031), we get a palindrome (2534554352).

It can be divided in two parts, 13014 and 13321, that added together give a triangular number (26335 = T₂₂₉).

The spelling of 1301413321 in words is "one billion, three hundred one million, four hundred thirteen thousand, three hundred twenty-one".