201311312121101 has 16 divisors (see below), whose sum is σ = 247776637524864. Its totient is φ = 159273578574144.

The previous prime is 201311312121097. The next prime is 201311312121107. The reversal of 201311312121101 is 101121213113102.

It is a cyclic number.

It is not a de Polignac number, because 201311312121101 - 2² = 201311312121097 is a prime.

It is a super-3 number, since 3×201311312121101³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201311312121107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37035530 + ... + 42121883.

It is an arithmetic number, because the mean of its divisors is an integer number (15486039845304).

Almost surely, 2^{201311312121101} is an apocalyptic number.

It is an amenable number.

201311312121101 is a deficient number, since it is larger than the sum of its proper divisors (46465325403763).

201311312121101 is a wasteful number, since it uses less digits than its factorization.

201311312121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79185380.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 201311312121101 its reverse (101121213113102), we get a palindrome (302432525234203).

The spelling of 201311312121101 in words is "two hundred one trillion, three hundred eleven billion, three hundred twelve million, one hundred twenty-one thousand, one hundred one".