105213303312501 has 4 divisors (see below), whose sum is σ = 140284404416672. Its totient is φ = 70142202208332.

The previous prime is 105213303312449. The next prime is 105213303312527.

105213303312501 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105213303312501 - 2⁷ = 105213303312373 is a prime.

It is a super-2 number, since 2×105213303312501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105213303312401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17535550552081 + ... + 17535550552086.

It is an arithmetic number, because the mean of its divisors is an integer number (35071101104168).

Almost surely, 2^{105213303312501} is an apocalyptic number.

It is an amenable number.

105213303312501 is a deficient number, since it is larger than the sum of its proper divisors (35071101104171).

105213303312501 is an equidigital number, since it uses as much as digits as its factorization.

105213303312501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35071101104170.

The product of its (nonzero) digits is 8100, while the sum is 30.

It can be divided in two parts, 10521330 and 3312501, that added together give a palindrome (13833831).

The spelling of 105213303312501 in words is "one hundred five trillion, two hundred thirteen billion, three hundred three million, three hundred twelve thousand, five hundred one".