101211313 has 12 divisors (see below), whose sum is σ = 117899712. Its totient is φ = 86631720.

The previous prime is 101211307. The next prime is 101211343. The reversal of 101211313 is 313112101.

It is not a de Polignac number, because 101211313 - 2⁹ = 101210801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211293 and 101211302.

It is not an unprimeable number, because it can be changed into a prime (101211343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66228 + ... + 67738.

It is an arithmetic number, because the mean of its divisors is an integer number (9824976).

Almost surely, 2^101211313 is an apocalyptic number.

It is an amenable number.

101211313 is a deficient number, since it is larger than the sum of its proper divisors (16688399).

101211313 is a wasteful number, since it uses less digits than its factorization.

101211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 101211313 is about 10060.3833425968. The cubic root of 101211313 is about 466.0255056128.

Adding to 101211313 its reverse (313112101), we get a palindrome (414323414).

The spelling of 101211313 in words is "one hundred one million, two hundred eleven thousand, three hundred thirteen".