101211201313 has 4 divisors (see below), whose sum is σ = 102492355840. Its totient is φ = 99930046788.

The previous prime is 101211201307. The next prime is 101211201317. The reversal of 101211201313 is 313102112101.

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 101211201313 - 2²⁵ = 101177646881 is a prime.

It is a super-3 number, since 3×101211201313³ (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 (101211201317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640577145 + ... + 640577302.

It is an arithmetic number, because the mean of its divisors is an integer number (25623088960).

Almost surely, 2^101211201313 is an apocalyptic number.

It is an amenable number.

101211201313 is a deficient number, since it is larger than the sum of its proper divisors (1281154527).

101211201313 is an equidigital number, since it uses as much as digits as its factorization.

101211201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281154526.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101211201313 its reverse (313102112101), we get a palindrome (414313313414).

The spelling of 101211201313 in words is "one hundred one billion, two hundred eleven million, two hundred one thousand, three hundred thirteen".