101131321311 has 24 divisors (see below), whose sum is σ = 152988819984. Its totient is φ = 66753331200.

The previous prime is 101131321307. The next prime is 101131321331. The reversal of 101131321311 is 113123131101.

101131321311 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 31 + 321 + 311 = 666.

It is not a de Polignac number, because 101131321311 - 2² = 101131321307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131321331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035746 + ... + 2084831.

It is an arithmetic number, because the mean of its divisors is an integer number (6374534166).

Almost surely, 2^101131321311 is an apocalyptic number.

101131321311 is a deficient number, since it is larger than the sum of its proper divisors (51857498673).

101131321311 is an equidigital number, since it uses as much as digits as its factorization.

101131321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120693 (or 4120681 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101131321311 its reverse (113123131101), we get a palindrome (214254452412).

The spelling of 101131321311 in words is "one hundred one billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred eleven".