100312331424131 has 8 divisors (see below), whose sum is σ = 101052087944544. Its totient is φ = 99575289607360.

The previous prime is 100312331424119. The next prime is 100312331424167. The reversal of 100312331424131 is 131424133213001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100312331424131 - 2³⁸ = 100037453517187 is a prime.

It is a super-2 number, since 2×100312331424131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100312331424094 and 100312331424103.

It is not an unprimeable number, because it can be changed into a prime (100312331424731) 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 7 ways as a sum of consecutive naturals, for example, 678601736 + ... + 678749541.

It is an arithmetic number, because the mean of its divisors is an integer number (12631510993068).

Almost surely, 2^{100312331424131} is an apocalyptic number.

100312331424131 is a deficient number, since it is larger than the sum of its proper divisors (739756520413).

100312331424131 is a wasteful number, since it uses less digits than its factorization.

100312331424131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357351821.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 100312331424131 its reverse (131424133213001), we get a palindrome (231736464637132).

The spelling of 100312331424131 in words is "one hundred trillion, three hundred twelve billion, three hundred thirty-one million, four hundred twenty-four thousand, one hundred thirty-one".