100413032041213 has 16 divisors (see below), whose sum is σ = 101017763501616. Its totient is φ = 99809909102080.

The previous prime is 100413032041187. The next prime is 100413032041241. The reversal of 100413032041213 is 312140230314001.

It can be written as a sum of positive squares in 8 ways, for example, as 68374409529924 + 32038622511289 = 8268882^2 + 5660267^2 .

It is a cyclic number.

It is not a de Polignac number, because 100413032041213 - 2³³ = 100404442106621 is a prime.

It is a super-2 number, since 2×100413032041213² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413032041243) 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, 381880695 + ... + 382143547.

It is an arithmetic number, because the mean of its divisors is an integer number (6313610218851).

Almost surely, 2^{100413032041213} is an apocalyptic number.

It is an amenable number.

100413032041213 is a deficient number, since it is larger than the sum of its proper divisors (604731460403).

100413032041213 is a wasteful number, since it uses less digits than its factorization.

100413032041213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265904.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 100413032041213 its reverse (312140230314001), we get a palindrome (412553262355214).

The spelling of 100413032041213 in words is "one hundred trillion, four hundred thirteen billion, thirty-two million, forty-one thousand, two hundred thirteen".