31013101223001 has 12 divisors (see below), whose sum is σ = 44854954964820. Its totient is φ = 20648514723840.

The previous prime is 31013101222973. The next prime is 31013101223063. The reversal of 31013101223001 is 10032210131013.

31013101223001 is a `hidden beast` number, since 31 + 0 + 1 + 310 + 1 + 22 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16570403096976 + 14442698126025 = 4070676^2 + 3800355^2 .

It is not a de Polignac number, because 31013101223001 - 2⁶ = 31013101222937 is a prime.

It is a super-2 number, since 2×31013101223001² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31013101221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2240500320 + ... + 2240514161.

It is an arithmetic number, because the mean of its divisors is an integer number (3737912913735).

Almost surely, 2^{31013101223001} is an apocalyptic number.

It is an amenable number.

31013101223001 is a deficient number, since it is larger than the sum of its proper divisors (13841853741819).

31013101223001 is a wasteful number, since it uses less digits than its factorization.

31013101223001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481015256 (or 4481015253 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31013101223001 its reverse (10032210131013), we get a palindrome (41045311354014).

The spelling of 31013101223001 in words is "thirty-one trillion, thirteen billion, one hundred one million, two hundred twenty-three thousand, one".