10114332013213 has 8 divisors (see below), whose sum is σ = 10147455559800. Its totient is φ = 10081233727488.

The previous prime is 10114332013133. The next prime is 10114332013241. The reversal of 10114332013213 is 31231023341101.

It can be written as a sum of positive squares in 4 ways, for example, as 185449087044 + 9928882926169 = 430638^2 + 3151013^2 .

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 10114332013213 - 2¹⁷ = 10114331882141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114332013243) 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 7 ways as a sum of consecutive naturals, for example, 5512948 + ... + 7114861.

It is an arithmetic number, because the mean of its divisors is an integer number (1268431944975).

Almost surely, 2^{10114332013213} is an apocalyptic number.

It is an amenable number.

10114332013213 is a deficient number, since it is larger than the sum of its proper divisors (33123546587).

10114332013213 is a wasteful number, since it uses less digits than its factorization.

10114332013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630431.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10114332013213 its reverse (31231023341101), we get a palindrome (41345355354314).

The spelling of 10114332013213 in words is "ten trillion, one hundred fourteen billion, three hundred thirty-two million, thirteen thousand, two hundred thirteen".