100414341210131 has 32 divisors (see below), whose sum is σ = 117592286945280. Its totient is φ = 84913768368000.

The previous prime is 100414341210121. The next prime is 100414341210199. The reversal of 100414341210131 is 131012143414001.

It is not a de Polignac number, because 100414341210131 - 2³⁰ = 100413267468307 is a prime.

It is a super-2 number, since 2×100414341210131² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100414341210131.

It is not an unprimeable number, because it can be changed into a prime (100414341210101) 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, 4921766 + ... + 15001748.

It is an arithmetic number, because the mean of its divisors is an integer number (3674758967040).

Almost surely, 2^{100414341210131} is an apocalyptic number.

100414341210131 is a deficient number, since it is larger than the sum of its proper divisors (17177945735149).

100414341210131 is a wasteful number, since it uses less digits than its factorization.

100414341210131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081347.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 100414341210131 its reverse (131012143414001), we get a palindrome (231426484624132).

The spelling of 100414341210131 in words is "one hundred trillion, four hundred fourteen billion, three hundred forty-one million, two hundred ten thousand, one hundred thirty-one".