101021313 has 16 divisors (see below), whose sum is σ = 140958720. Its totient is φ = 64232784.

The previous prime is 101021299. The next prime is 101021321. The reversal of 101021313 is 313120101.

It is not a de Polignac number, because 101021313 - 2⁸ = 101021057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101021813) 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 15 ways as a sum of consecutive naturals, for example, 24220 + ... + 28082.

It is an arithmetic number, because the mean of its divisors is an integer number (8809920).

Almost surely, 2^101021313 is an apocalyptic number.

It is an amenable number.

101021313 is a deficient number, since it is larger than the sum of its proper divisors (39937407).

101021313 is a wasteful number, since it uses less digits than its factorization.

101021313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101021313 is about 10050.9359265692. The cubic root of 101021313 is about 465.7337058506.

Adding to 101021313 its reverse (313120101), we get a palindrome (414141414).

The spelling of 101021313 in words is "one hundred one million, twenty-one thousand, three hundred thirteen".