100314010331001 has 64 divisors (see below), whose sum is σ = 150594297465600. Its totient is φ = 65990008627200.

The previous prime is 100314010330973. The next prime is 100314010331011. The reversal of 100314010331001 is 100133010413001.

100314010331001 is a `hidden beast` number, since 10 + 0 + 314 + 0 + 10 + 331 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 100314010331001 - 2⁵ = 100314010330969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100314010331011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779564095 + ... + 779692763.

It is an arithmetic number, because the mean of its divisors is an integer number (2353035897900).

Almost surely, 2^{100314010331001} is an apocalyptic number.

It is an amenable number.

100314010331001 is a deficient number, since it is larger than the sum of its proper divisors (50280287134599).

100314010331001 is a wasteful number, since it uses less digits than its factorization.

100314010331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129847 (or 129841 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100314010331001 its reverse (100133010413001), we get a palindrome (200447020744002).

The spelling of 100314010331001 in words is "one hundred trillion, three hundred fourteen billion, ten million, three hundred thirty-one thousand, one".