100301013312031 has 16 divisors (see below), whose sum is σ = 115029219317760. Its totient is φ = 85673034984960.

The previous prime is 100301013312029. The next prime is 100301013312037. The reversal of 100301013312031 is 130213310103001.

It is a cyclic number.

It is not a de Polignac number, because 100301013312031 - 2¹ = 100301013312029 is a prime.

It is a super-2 number, since 2×100301013312031² (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 (100301013312037) 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 15 ways as a sum of consecutive naturals, for example, 11411650 + ... + 18188671.

It is an arithmetic number, because the mean of its divisors is an integer number (7189326207360).

Almost surely, 2^{100301013312031} is an apocalyptic number.

100301013312031 is a deficient number, since it is larger than the sum of its proper divisors (14728206005729).

100301013312031 is a wasteful number, since it uses less digits than its factorization.

100301013312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29602014.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100301013312031 its reverse (130213310103001), we get a palindrome (230514323415032).

The spelling of 100301013312031 in words is "one hundred trillion, three hundred one billion, thirteen million, three hundred twelve thousand, thirty-one".