113331331100213 has 16 divisors (see below), whose sum is σ = 114325508497200. Its totient is φ = 112342605004800.

The previous prime is 113331331100203. The next prime is 113331331100327. The reversal of 113331331100213 is 312001133133311.

It can be written as a sum of positive squares in 8 ways, for example, as 10485304562404 + 102846026537809 = 3238102^2 + 10141303^2 .

It is a cyclic number.

It is not a de Polignac number, because 113331331100213 - 2⁶ = 113331331100149 is a prime.

It is a super-2 number, since 2×113331331100213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331331100203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47363273 + ... + 49698513.

It is an arithmetic number, because the mean of its divisors is an integer number (7145344281075).

Almost surely, 2^{113331331100213} is an apocalyptic number.

It is an amenable number.

113331331100213 is a deficient number, since it is larger than the sum of its proper divisors (994177396987).

113331331100213 is a wasteful number, since it uses less digits than its factorization.

113331331100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336408.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 113331331100213 its reverse (312001133133311), we get a palindrome (425332464233524).

The spelling of 113331331100213 in words is "one hundred thirteen trillion, three hundred thirty-one billion, three hundred thirty-one million, one hundred thousand, two hundred thirteen".