31113101111121 has 6 divisors (see below), whose sum is σ = 44941146049410. Its totient is φ = 20742067407408.

The previous prime is 31113101111093. The next prime is 31113101111159. The reversal of 31113101111121 is 12111110131113.

It is a happy number.

31113101111121 is a `hidden beast` number, since 311 + 1 + 310 + 1 + 11 + 11 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24727695563025 + 6385405548096 = 4972695^2 + 2526936^2 .

It is not a de Polignac number, because 31113101111121 - 2¹³ = 31113101102929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31113101111094 and 31113101111103.

It is not an unprimeable number, because it can be changed into a prime (31113101111821) 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 5 ways as a sum of consecutive naturals, for example, 1728505617276 + ... + 1728505617293.

It is an arithmetic number, because the mean of its divisors is an integer number (7490191008235).

Almost surely, 2^{31113101111121} is an apocalyptic number.

It is an amenable number.

31113101111121 is a deficient number, since it is larger than the sum of its proper divisors (13828044938289).

31113101111121 is a wasteful number, since it uses less digits than its factorization.

31113101111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457011234575 (or 3457011234572 counting only the distinct ones).

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

Adding to 31113101111121 its reverse (12111110131113), we get a palindrome (43224211242234).

The spelling of 31113101111121 in words is "thirty-one trillion, one hundred thirteen billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".