101032021013113 has 2 divisors, whose sum is σ = 101032021013114. Its totient is φ = 101032021013112.

The previous prime is 101032021013111. The next prime is 101032021013159. The reversal of 101032021013113 is 311310120230101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71037471427129 + 29994549585984 = 8428373^2 + 5476728^2 .

It is a cyclic number.

It is not a de Polignac number, because 101032021013113 - 2¹ = 101032021013111 is a prime.

Together with 101032021013111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101032021013111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516010506556 + 50516010506557.

It is an arithmetic number, because the mean of its divisors is an integer number (50516010506557).

Almost surely, 2^{101032021013113} is an apocalyptic number.

It is an amenable number.

101032021013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101032021013113 is an equidigital number, since it uses as much as digits as its factorization.

101032021013113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101032021013113 its reverse (311310120230101), we get a palindrome (412342141243214).

The spelling of 101032021013113 in words is "one hundred one trillion, thirty-two billion, twenty-one million, thirteen thousand, one hundred thirteen".