313611200101 has 32 divisors (see below), whose sum is σ = 345099067488. Its totient is φ = 283787919360.

The previous prime is 313611200093. The next prime is 313611200107. The reversal of 313611200101 is 101002116313.

It is a Cunningham number, because it is equal to 560010²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 71089423876 + 242521776225 = 266626^2 + 492465^2 .

It is a 9-Lehmer number, since φ(313611200101) divides (313611200101-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 313611200101 - 2³ = 313611200093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313611200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107510095 + ... + 107513011.

It is an arithmetic number, because the mean of its divisors is an integer number (10784345859).

Almost surely, 2^313611200101 is an apocalyptic number.

It is an amenable number.

313611200101 is a deficient number, since it is larger than the sum of its proper divisors (31487867387).

313611200101 is a wasteful number, since it uses less digits than its factorization.

313611200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 313611200101 its reverse (101002116313), we get a palindrome (414613316414).

The spelling of 313611200101 in words is "three hundred thirteen billion, six hundred eleven million, two hundred thousand, one hundred one".