101212121313 has 12 divisors (see below), whose sum is σ = 146278706340. Its totient is φ = 67436246016.

The previous prime is 101212121279. The next prime is 101212121333. The reversal of 101212121313 is 313121212101.

It can be written as a sum of positive squares in 2 ways, for example, as 2419459344 + 98792661969 = 49188^2 + 314313^2 .

It is not a de Polignac number, because 101212121313 - 2⁶ = 101212121249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101212121333) 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, 3191808 + ... + 3223361.

It is an arithmetic number, because the mean of its divisors is an integer number (12189892195).

Almost surely, 2^101212121313 is an apocalyptic number.

It is an amenable number.

101212121313 is a deficient number, since it is larger than the sum of its proper divisors (45066585027).

101212121313 is a wasteful number, since it uses less digits than its factorization.

101212121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416928 (or 6416925 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101212121313 its reverse (313121212101), we get a palindrome (414333333414).

The spelling of 101212121313 in words is "one hundred one billion, two hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".