101213122313 has 4 divisors (see below), whose sum is σ = 102010076160. Its totient is φ = 100416168468.

The previous prime is 101213122273. The next prime is 101213122321. The reversal of 101213122313 is 313221312101.

It is a happy number.

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 a cyclic number.

It is not a de Polignac number, because 101213122313 - 2⁶ = 101213122249 is a prime.

It is a super-3 number, since 3×101213122313³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101213122393) 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, 398476733 + ... + 398476986.

It is an arithmetic number, because the mean of its divisors is an integer number (25502519040).

Almost surely, 2^101213122313 is an apocalyptic number.

It is an amenable number.

101213122313 is a deficient number, since it is larger than the sum of its proper divisors (796953847).

101213122313 is an equidigital number, since it uses as much as digits as its factorization.

101213122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796953846.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101213122313 its reverse (313221312101), we get a palindrome (414434434414).

The spelling of 101213122313 in words is "one hundred one billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred thirteen".