101020033013 has 2 divisors, whose sum is σ = 101020033014. Its totient is φ = 101020033012.

The previous prime is 101020033007. The next prime is 101020033061. The reversal of 101020033013 is 310330020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100881193924 + 138839089 = 317618^2 + 11783^2 .

It is an emirp because it is prime and its reverse (310330020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101020033013 - 2²² = 101015838709 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020033003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510016506 + 50510016507.

It is an arithmetic number, because the mean of its divisors is an integer number (50510016507).

Almost surely, 2^101020033013 is an apocalyptic number.

It is an amenable number.

101020033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020033013 is an equidigital number, since it uses as much as digits as its factorization.

101020033013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 101020033013 its reverse (310330020101), we get a palindrome (411350053114).

The spelling of 101020033013 in words is "one hundred one billion, twenty million, thirty-three thousand, thirteen".