231201020131011 has 256 divisors, whose sum is σ = 414523588608000. Its totient is φ = 127173008793600.

The previous prime is 231201020131007. The next prime is 231201020131097. The reversal of 231201020131011 is 110131020102132.

231201020131011 is a `hidden beast` number, since 2 + 312 + 0 + 10 + 20 + 1 + 310 + 11 = 666.

It is not a de Polignac number, because 231201020131011 - 2² = 231201020131007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231201020132011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 63674198166 + ... + 63674201796.

It is an arithmetic number, because the mean of its divisors is an integer number (1619232768000).

Almost surely, 2^{231201020131011} is an apocalyptic number.

231201020131011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

231201020131011 is a deficient number, since it is larger than the sum of its proper divisors (183322568476989).

231201020131011 is a wasteful number, since it uses less digits than its factorization.

231201020131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4792 counting only the distinct ones).

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

Adding to 231201020131011 its reverse (110131020102132), we get a palindrome (341332040233143).

The spelling of 231201020131011 in words is "two hundred thirty-one trillion, two hundred one billion, twenty million, one hundred thirty-one thousand, eleven".