1321320013313 has 16 divisors (see below), whose sum is σ = 1396832722560. Its totient is φ = 1247402889216.

The previous prime is 1321320013309. The next prime is 1321320013327. The reversal of 1321320013313 is 3133100231231.

It is a cyclic number.

It is not a de Polignac number, because 1321320013313 - 2² = 1321320013309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321320013393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381095 + ... + 1669692.

It is an arithmetic number, because the mean of its divisors is an integer number (87302045160).

Almost surely, 2^{1321320013313} is an apocalyptic number.

It is an amenable number.

1321320013313 is a deficient number, since it is larger than the sum of its proper divisors (75512709247).

1321320013313 is a wasteful number, since it uses less digits than its factorization.

1321320013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051176.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1321320013313 its reverse (3133100231231), we get a palindrome (4454420244544).

The spelling of 1321320013313 in words is "one trillion, three hundred twenty-one billion, three hundred twenty million, thirteen thousand, three hundred thirteen".