101352023344213 has 16 divisors (see below), whose sum is σ = 105113262299760. Its totient is φ = 97608551040000.

The previous prime is 101352023344207. The next prime is 101352023344219. The reversal of 101352023344213 is 312443320253101.

It is an interprime number because it is at equal distance from previous prime (101352023344207) and next prime (101352023344219).

It can be written as a sum of positive squares in 8 ways, for example, as 520040015044 + 100831983329169 = 721138^2 + 10041513^2 .

It is a cyclic number.

It is not a de Polignac number, because 101352023344213 - 2¹⁷ = 101352023213141 is a prime.

It is a super-3 number, since 3×101352023344213³ (a number of 43 digits) contains 333 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 (101352023344219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025770413 + ... + 1025869213.

It is an arithmetic number, because the mean of its divisors is an integer number (6569578893735).

Almost surely, 2^{101352023344213} is an apocalyptic number.

It is an amenable number.

101352023344213 is a deficient number, since it is larger than the sum of its proper divisors (3761238955547).

101352023344213 is an equidigital number, since it uses as much as digits as its factorization.

101352023344213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188328.

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 101352023344213 its reverse (312443320253101), we get a palindrome (413795343597314).

The spelling of 101352023344213 in words is "one hundred one trillion, three hundred fifty-two billion, twenty-three million, three hundred forty-four thousand, two hundred thirteen".