100314110212131 has 16 divisors (see below), whose sum is σ = 138864805954560. Its totient is φ = 64344683772960.

The previous prime is 100314110212093. The next prime is 100314110212153. The reversal of 100314110212131 is 131212011413001.

It is a happy number.

It is not a de Polignac number, because 100314110212131 - 2⁷ = 100314110212003 is a prime.

It is a super-2 number, since 2×100314110212131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100314110212098 and 100314110212107.

It is not an unprimeable number, because it can be changed into a prime (100314110212331) 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, 3117458901 + ... + 3117491078.

It is an arithmetic number, because the mean of its divisors is an integer number (8679050372160).

Almost surely, 2^{100314110212131} is an apocalyptic number.

100314110212131 is a deficient number, since it is larger than the sum of its proper divisors (38550695742429).

100314110212131 is a wasteful number, since it uses less digits than its factorization.

100314110212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234950186.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 100314110212131 its reverse (131212011413001), we get a palindrome (231526121625132).

The spelling of 100314110212131 in words is "one hundred trillion, three hundred fourteen billion, one hundred ten million, two hundred twelve thousand, one hundred thirty-one".