1301221201313 has 64 divisors (see below), whose sum is σ = 1518565708800. Its totient is φ = 1103880960000.

The previous prime is 1301221201309. The next prime is 1301221201321. The reversal of 1301221201313 is 3131021221031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1301221201313 - 2² = 1301221201309 is a prime.

It is a super-2 number, since 2×1301221201313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1301221204313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 802726643 + ... + 802728263.

It is an arithmetic number, because the mean of its divisors is an integer number (23727589200).

Almost surely, 2^{1301221201313} is an apocalyptic number.

It is an amenable number.

1301221201313 is a deficient number, since it is larger than the sum of its proper divisors (217344507487).

1301221201313 is a wasteful number, since it uses less digits than its factorization.

1301221201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1301221201313 its reverse (3131021221031), we get a palindrome (4432242422344).

The spelling of 1301221201313 in words is "one trillion, three hundred one billion, two hundred twenty-one million, two hundred one thousand, three hundred thirteen".