31124133142113 has 8 divisors (see below), whose sum is σ = 45271466388576. Its totient is φ = 18863110995200.

The previous prime is 31124133142099. The next prime is 31124133142127.

It is a happy number.

31124133142113 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31124133142099) and next prime (31124133142127).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31124133142113 - 2⁹ = 31124133141601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31124133142133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471577774848 + ... + 471577774913.

It is an arithmetic number, because the mean of its divisors is an integer number (5658933298572).

Almost surely, 2^{31124133142113} is an apocalyptic number.

31124133142113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31124133142113 is a deficient number, since it is larger than the sum of its proper divisors (14147333246463).

31124133142113 is a wasteful number, since it uses less digits than its factorization.

31124133142113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943155549775.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 3112413 and 3142113, that added together give a palindrome (6254526).

The spelling of 31124133142113 in words is "thirty-one trillion, one hundred twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, one hundred thirteen".