101312122103213 has 12 divisors (see below), whose sum is σ = 121038089619132. Its totient is φ = 84491962833600.

The previous prime is 101312122103191. The next prime is 101312122103261. The reversal of 101312122103213 is 312301221213101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93313706649604 + 7998415453609 = 9659902^2 + 2828147^2 .

It is not a de Polignac number, because 101312122103213 - 2²⁰ = 101312121054637 is a prime.

It is a super-3 number, since 3×101312122103213³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312122103513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27940462088 + ... + 27940465713.

It is an arithmetic number, because the mean of its divisors is an integer number (10086507468261).

Almost surely, 2^{101312122103213} is an apocalyptic number.

It is an amenable number.

101312122103213 is a deficient number, since it is larger than the sum of its proper divisors (19725967515919).

101312122103213 is an equidigital number, since it uses as much as digits as its factorization.

101312122103213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55880927852 (or 55880927845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101312122103213 its reverse (312301221213101), we get a palindrome (413613343316314).

The spelling of 101312122103213 in words is "one hundred one trillion, three hundred twelve billion, one hundred twenty-two million, one hundred three thousand, two hundred thirteen".