100104130213131 has 32 divisors (see below), whose sum is σ = 145858665254400. Its totient is φ = 60563909120000.

The previous prime is 100104130213081. The next prime is 100104130213133. The reversal of 100104130213131 is 131312031401001.

It is not a de Polignac number, because 100104130213131 - 2¹¹ = 100104130211083 is a prime.

It is a super-2 number, since 2×100104130213131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100104130213098 and 100104130213107.

It is not an unprimeable number, because it can be changed into a prime (100104130213133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316133521 + ... + 316450013.

It is an arithmetic number, because the mean of its divisors is an integer number (4558083289200).

Almost surely, 2^{100104130213131} is an apocalyptic number.

100104130213131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100104130213131 is a deficient number, since it is larger than the sum of its proper divisors (45754535041269).

100104130213131 is a wasteful number, since it uses less digits than its factorization.

100104130213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333107.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 100104130213131 its reverse (131312031401001), we get a palindrome (231416161614132).

The spelling of 100104130213131 in words is "one hundred trillion, one hundred four billion, one hundred thirty million, two hundred thirteen thousand, one hundred thirty-one".