101021013213 has 8 divisors (see below), whose sum is σ = 135170638368. Its totient is φ = 67109365104.

The previous prime is 101021013179. The next prime is 101021013229. The reversal of 101021013213 is 312310120101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101021013213 - 2¹⁴ = 101020996829 is a prime.

It is a super-2 number, since 2×101021013213² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101021013192 and 101021013201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021013413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59493270 + ... + 59494967.

It is an arithmetic number, because the mean of its divisors is an integer number (16896329796).

Almost surely, 2^101021013213 is an apocalyptic number.

It is an amenable number.

101021013213 is a deficient number, since it is larger than the sum of its proper divisors (34149625155).

101021013213 is a wasteful number, since it uses less digits than its factorization.

101021013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118988523.

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

Adding to 101021013213 its reverse (312310120101), we get a palindrome (413331133314).

The spelling of 101021013213 in words is "one hundred one billion, twenty-one million, thirteen thousand, two hundred thirteen".