101312221131 has 24 divisors (see below), whose sum is σ = 163040177664. Its totient is φ = 60094931760.

The previous prime is 101312221111. The next prime is 101312221151. The reversal of 101312221131 is 131122213101.

101312221131 is a `hidden beast` number, since 1 + 0 + 1 + 312 + 221 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (101312221111) and next prime (101312221151).

It is not a de Polignac number, because 101312221131 - 2⁵ = 101312221099 is a prime.

It is a super-2 number, since 2×101312221131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101312221111) 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, 10882111 + ... + 10891416.

It is an arithmetic number, because the mean of its divisors is an integer number (6793340736).

Almost surely, 2^101312221131 is an apocalyptic number.

101312221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101312221131 is a deficient number, since it is larger than the sum of its proper divisors (61727956533).

101312221131 is a wasteful number, since it uses less digits than its factorization.

101312221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21773591 (or 21773588 counting only the distinct ones).

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

Adding to 101312221131 its reverse (131122213101), we get a palindrome (232434434232).

The spelling of 101312221131 in words is "one hundred one billion, three hundred twelve million, two hundred twenty-one thousand, one hundred thirty-one".