31241100114213 has 32 divisors (see below), whose sum is σ = 45892935130752. Its totient is φ = 18745955424000.

The previous prime is 31241100114113. The next prime is 31241100114229.

31241100114213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31241100114213 - 2²⁴ = 31241083336997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31241100114013) 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 31 ways as a sum of consecutive naturals, for example, 123584695 + ... + 123837227.

It is an arithmetic number, because the mean of its divisors is an integer number (1434154222836).

Almost surely, 2^{31241100114213} is an apocalyptic number.

31241100114213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31241100114213 is a deficient number, since it is larger than the sum of its proper divisors (14651835016539).

31241100114213 is a wasteful number, since it uses less digits than its factorization.

31241100114213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289765.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 31241100 and 114213, that added together give a palindrome (31355313).

The spelling of 31241100114213 in words is "thirty-one trillion, two hundred forty-one billion, one hundred million, one hundred fourteen thousand, two hundred thirteen".