100314101413001 has 6 divisors (see below), whose sum is σ = 116691913888650. Its totient is φ = 85983515496816.

The previous prime is 100314101412983. The next prime is 100314101413003.

100314101413001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 88110118116601 + 12203983296400 = 9386699^2 + 3493420^2 .

It is not a de Polignac number, because 100314101413001 - 2⁴⁶ = 29945357235337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100314101413003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1023613279676 + ... + 1023613279773.

It is an arithmetic number, because the mean of its divisors is an integer number (19448652314775).

Almost surely, 2^{100314101413001} is an apocalyptic number.

It is an amenable number.

100314101413001 is a deficient number, since it is larger than the sum of its proper divisors (16377812475649).

100314101413001 is an equidigital number, since it uses as much as digits as its factorization.

100314101413001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047226559463 (or 2047226559456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 10031410 and 1413001, that added together give a palindrome (11444411).

The spelling of 100314101413001 in words is "one hundred trillion, three hundred fourteen billion, one hundred one million, four hundred thirteen thousand, one".