101020211313 has 32 divisors (see below), whose sum is σ = 165989591040. Its totient is φ = 53353779840.

The previous prime is 101020211293. The next prime is 101020211317. The reversal of 101020211313 is 313112020101.

It is a happy number.

It is not a de Polignac number, because 101020211313 - 2¹⁶ = 101020145777 is a prime.

It is a super-4 number, since 4×101020211313⁴ (a number of 45 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101020211292 and 101020211301.

It is not an unprimeable number, because it can be changed into a prime (101020211317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3071245 + ... + 3103962.

It is an arithmetic number, because the mean of its divisors is an integer number (5187174720).

Almost surely, 2^101020211313 is an apocalyptic number.

It is an amenable number.

101020211313 is a deficient number, since it is larger than the sum of its proper divisors (64969379727).

101020211313 is a wasteful number, since it uses less digits than its factorization.

101020211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6175277.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101020211313 its reverse (313112020101), we get a palindrome (414132231414).

The spelling of 101020211313 in words is "one hundred one billion, twenty million, two hundred eleven thousand, three hundred thirteen".