101322000213 has 8 divisors (see below), whose sum is σ = 154395428928. Its totient is φ = 57898285824.

The previous prime is 101322000179. The next prime is 101322000277. The reversal of 101322000213 is 312000223101.

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

It is not a de Polignac number, because 101322000213 - 2⁸ = 101321999957 is a prime.

It is a super-2 number, since 2×101322000213² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101322000192 and 101322000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322001213) 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, 2412428556 + ... + 2412428597.

It is an arithmetic number, because the mean of its divisors is an integer number (19299428616).

Almost surely, 2^101322000213 is an apocalyptic number.

It is an amenable number.

101322000213 is a deficient number, since it is larger than the sum of its proper divisors (53073428715).

101322000213 is an equidigital number, since it uses as much as digits as its factorization.

101322000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824857163.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101322000213 its reverse (312000223101), we get a palindrome (413322223314).

The spelling of 101322000213 in words is "one hundred one billion, three hundred twenty-two million, two hundred thirteen", and thus it is an aban number.