13130311120001 has 8 divisors (see below), whose sum is σ = 13902722875944. Its totient is φ = 12357903865600.

The previous prime is 13130311119983. The next prime is 13130311120007. The reversal of 13130311120001 is 10002111303131.

It can be written as a sum of positive squares in 4 ways, for example, as 3050803689025 + 10079507430976 = 1746655^2 + 3174824^2 .

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 13130311120001 - 2¹⁸ = 13130310857857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130311120007) 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, 6267551 + ... + 8095851.

It is an arithmetic number, because the mean of its divisors is an integer number (1737840359493).

Almost surely, 2^{13130311120001} is an apocalyptic number.

It is an amenable number.

13130311120001 is a deficient number, since it is larger than the sum of its proper divisors (772411755943).

13130311120001 is a wasteful number, since it uses less digits than its factorization.

13130311120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250771.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13130311120001 its reverse (10002111303131), we get a palindrome (23132422423132).

The spelling of 13130311120001 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, one hundred twenty thousand, one".