311313031001201 has 8 divisors (see below), whose sum is σ = 311598607383624. Its totient is φ = 311027524807680.

The previous prime is 311313031001173. The next prime is 311313031001233. The reversal of 311313031001201 is 102100130313113.

It can be written as a sum of positive squares in 4 ways, for example, as 208485298560400 + 102827732440801 = 14439020^2 + 10140401^2 .

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-311313031001201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311313031001501) 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, 8670380 + ... + 26415933.

It is an arithmetic number, because the mean of its divisors is an integer number (38949825922953).

Almost surely, 2^{311313031001201} is an apocalyptic number.

It is an amenable number.

311313031001201 is a deficient number, since it is larger than the sum of its proper divisors (285576382423).

311313031001201 is a wasteful number, since it uses less digits than its factorization.

311313031001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35094451.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 311313031001201 its reverse (102100130313113), we get a palindrome (413413161314314).

The spelling of 311313031001201 in words is "three hundred eleven trillion, three hundred thirteen billion, thirty-one million, one thousand, two hundred one".