1001122320231 has 64 divisors (see below), whose sum is σ = 1634784353280. Its totient is φ = 600445440000.

The previous prime is 1001122320217. The next prime is 1001122320239. The reversal of 1001122320231 is 1320232211001.

1001122320231 is a `hidden beast` number, since 1 + 0 + 0 + 112 + 2 + 320 + 231 = 666.

It is not a de Polignac number, because 1001122320231 - 2⁹ = 1001122319719 is a prime.

It is a super-2 number, since 2×1001122320231² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122320239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48965971 + ... + 48986411.

It is an arithmetic number, because the mean of its divisors is an integer number (25543505520).

Almost surely, 2^{1001122320231} is an apocalyptic number.

1001122320231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001122320231 is a deficient number, since it is larger than the sum of its proper divisors (633662033049).

1001122320231 is a wasteful number, since it uses less digits than its factorization.

1001122320231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22165 (or 22159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1001122320231 its reverse (1320232211001), we get a palindrome (2321354531232).

The spelling of 1001122320231 in words is "one trillion, one billion, one hundred twenty-two million, three hundred twenty thousand, two hundred thirty-one".