101320133021213 has 8 divisors (see below), whose sum is σ = 103000429305816. Its totient is φ = 99640459656000.

The previous prime is 101320133021207. The next prime is 101320133021227. The reversal of 101320133021213 is 312120331023101.

It can be written as a sum of positive squares in 4 ways, for example, as 41958239440324 + 59361893580889 = 6477518^2 + 7704667^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101320133021213 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 (101320133041213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155401838 + ... + 156052463.

It is an arithmetic number, because the mean of its divisors is an integer number (12875053663227).

Almost surely, 2^{101320133021213} is an apocalyptic number.

It is an amenable number.

101320133021213 is a deficient number, since it is larger than the sum of its proper divisors (1680296284603).

101320133021213 is an equidigital number, since it uses as much as digits as its factorization.

101320133021213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311459695.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101320133021213 its reverse (312120331023101), we get a palindrome (413440464044314).

The spelling of 101320133021213 in words is "one hundred one trillion, three hundred twenty billion, one hundred thirty-three million, twenty-one thousand, two hundred thirteen".