100212131301113 has 16 divisors (see below), whose sum is σ = 109003727490000. Its totient is φ = 91575488044800.

The previous prime is 100212131301043. The next prime is 100212131301127. The reversal of 100212131301113 is 311103131212001.

It can be written as a sum of positive squares in 8 ways, for example, as 144059720704 + 100068071580409 = 379552^2 + 10003403^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212131301113 - 2¹⁸ = 100212131038969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212131301193) 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, 4856663 + ... + 14967011.

It is an arithmetic number, because the mean of its divisors is an integer number (6812732968125).

Almost surely, 2^{100212131301113} is an apocalyptic number.

100212131301113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100212131301113 is a deficient number, since it is larger than the sum of its proper divisors (8791596188887).

100212131301113 is a wasteful number, since it uses less digits than its factorization.

100212131301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118012.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100212131301113 its reverse (311103131212001), we get a palindrome (411315262513114).

The spelling of 100212131301113 in words is "one hundred trillion, two hundred twelve billion, one hundred thirty-one million, three hundred one thousand, one hundred thirteen".