13130322100331 has 8 divisors (see below), whose sum is σ = 13384738382400. Its totient is φ = 12876968100040.

The previous prime is 13130322100309. The next prime is 13130322100373. The reversal of 13130322100331 is 13300122303131.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13130322100331 is a prime.

It is a super-3 number, since 3×13130322100331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13130322100297 and 13130322100306.

It is not an unprimeable number, because it can be changed into a prime (13130322100381) 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, 265545485 + ... + 265594926.

It is an arithmetic number, because the mean of its divisors is an integer number (1673092297800).

Almost surely, 2^{13130322100331} is an apocalyptic number.

13130322100331 is a deficient number, since it is larger than the sum of its proper divisors (254416282069).

13130322100331 is an equidigital number, since it uses as much as digits as its factorization.

13130322100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531140889.

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

Adding to 13130322100331 its reverse (13300122303131), we get a palindrome (26430444403462).

The spelling of 13130322100331 in words is "thirteen trillion, one hundred thirty billion, three hundred twenty-two million, one hundred thousand, three hundred thirty-one".