101314000213 has 32 divisors (see below), whose sum is σ = 108198623232. Its totient is φ = 94668288000.

The previous prime is 101314000211. The next prime is 101314000237. The reversal of 101314000213 is 312000413101.

It is a cyclic number.

It is not a de Polignac number, because 101314000213 - 2¹ = 101314000211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314000211) 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, 117397020 + ... + 117397882.

It is an arithmetic number, because the mean of its divisors is an integer number (3381206976).

Almost surely, 2^101314000213 is an apocalyptic number.

It is an amenable number.

101314000213 is a deficient number, since it is larger than the sum of its proper divisors (6884623019).

101314000213 is a wasteful number, since it uses less digits than its factorization.

101314000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101314000213 its reverse (312000413101), we get a palindrome (413314413314).

The spelling of 101314000213 in words is "one hundred one billion, three hundred fourteen million, two hundred thirteen", and thus it is an aban number.