201311001022131 has 96 divisors (see below), whose sum is σ = 400973263961088. Its totient is φ = 93923754405120.

The previous prime is 201311001022063. The next prime is 201311001022189. The reversal of 201311001022131 is 131220100113102.

201311001022131 is a `hidden beast` number, since 201 + 311 + 0 + 0 + 1 + 0 + 22 + 131 = 666.

It is not a de Polignac number, because 201311001022131 - 2¹¹ = 201311001020083 is a prime.

It is a super-2 number, since 2×201311001022131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201311003022131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301633471 + ... + 302300136.

It is an arithmetic number, because the mean of its divisors is an integer number (4176804832928).

Almost surely, 2^{201311001022131} is an apocalyptic number.

201311001022131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201311001022131 is a deficient number, since it is larger than the sum of its proper divisors (199662262938957).

201311001022131 is a wasteful number, since it uses less digits than its factorization.

201311001022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603933681 (or 603933678 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201311001022131 its reverse (131220100113102), we get a palindrome (332531101135233).

The spelling of 201311001022131 in words is "two hundred one trillion, three hundred eleven billion, one million, twenty-two thousand, one hundred thirty-one".