100001301431213 has 128 divisors (see below), whose sum is σ = 128888518606848. Its totient is φ = 75491740800000.

The previous prime is 100001301431209. The next prime is 100001301431233. The reversal of 100001301431213 is 312134103100001.

It is not a de Polignac number, because 100001301431213 - 2² = 100001301431209 is a prime.

It is a super-3 number, since 3×100001301431213³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001301431233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49727150378 + ... + 49727152388.

It is an arithmetic number, because the mean of its divisors is an integer number (1006941551616).

Almost surely, 2^{100001301431213} is an apocalyptic number.

100001301431213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100001301431213 is a deficient number, since it is larger than the sum of its proper divisors (28887217175635).

100001301431213 is a wasteful number, since it uses less digits than its factorization.

100001301431213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100001301431213 its reverse (312134103100001), we get a palindrome (412135404531214).

The spelling of 100001301431213 in words is "one hundred trillion, one billion, three hundred one million, four hundred thirty-one thousand, two hundred thirteen".