31001310221121 has 6 divisors (see below), whose sum is σ = 44779670319410. Its totient is φ = 20667540147408.

The previous prime is 31001310221099. The next prime is 31001310221213. The reversal of 31001310221121 is 12112201310013.

31001310221121 is a `hidden beast` number, since 3 + 10 + 0 + 1 + 310 + 221 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30973899776400 + 27410444721 = 5565420^2 + 165561^2 .

It is not a de Polignac number, because 31001310221121 - 2¹⁸ = 31001309958977 is a prime.

It is a super-2 number, since 2×31001310221121² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31001310221094 and 31001310221103.

It is not an unprimeable number, because it can be changed into a prime (31001310221521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1722295012276 + ... + 1722295012293.

Almost surely, 2^{31001310221121} is an apocalyptic number.

It is an amenable number.

31001310221121 is a deficient number, since it is larger than the sum of its proper divisors (13778360098289).

31001310221121 is a wasteful number, since it uses less digits than its factorization.

31001310221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444590024575 (or 3444590024572 counting only the distinct ones).

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

Adding to 31001310221121 its reverse (12112201310013), we get a palindrome (43113511531134).

The spelling of 31001310221121 in words is "thirty-one trillion, one billion, three hundred ten million, two hundred twenty-one thousand, one hundred twenty-one".