101314140413213 has 24 divisors (see below), whose sum is σ = 127240711664472. Its totient is φ = 79958722402944.

The previous prime is 101314140413207. The next prime is 101314140413237. The reversal of 101314140413213 is 312314041413101.

It can be written as a sum of positive squares in 4 ways, for example, as 33117297186169 + 68196843227044 = 5754763^2 + 8258138^2 .

It is not a de Polignac number, because 101314140413213 - 2¹⁰ = 101314140412189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314140473213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200060570 + ... + 200566347.

It is an arithmetic number, because the mean of its divisors is an integer number (5301696319353).

Almost surely, 2^{101314140413213} is an apocalyptic number.

101314140413213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101314140413213 is a deficient number, since it is larger than the sum of its proper divisors (25926571251259).

101314140413213 is a wasteful number, since it uses less digits than its factorization.

101314140413213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400627341 (or 400627334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 101314140413213 its reverse (312314041413101), we get a palindrome (413628181826314).

The spelling of 101314140413213 in words is "one hundred one trillion, three hundred fourteen billion, one hundred forty million, four hundred thirteen thousand, two hundred thirteen".