1013300301321 has 48 divisors (see below), whose sum is σ = 1824962275968. Its totient is φ = 526348108800.

The previous prime is 1013300301263. The next prime is 1013300301337. The reversal of 1013300301321 is 1231030033101.

It is a happy number.

1013300301321 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 0 + 301 + 32 + 1 = 666.

It is not a de Polignac number, because 1013300301321 - 2¹⁴ = 1013300284937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013300301294 and 1013300301303.

It is not an unprimeable number, because it can be changed into a prime (1013300311321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9954201 + ... + 10055481.

It is an arithmetic number, because the mean of its divisors is an integer number (38020047416).

Almost surely, 2^{1013300301321} is an apocalyptic number.

1013300301321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013300301321 is a deficient number, since it is larger than the sum of its proper divisors (811661974647).

1013300301321 is a wasteful number, since it uses less digits than its factorization.

1013300301321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115742 (or 115739 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013300301321 its reverse (1231030033101), we get a palindrome (2244330334422).

The spelling of 1013300301321 in words is "one trillion, thirteen billion, three hundred million, three hundred one thousand, three hundred twenty-one".