101331020113 has 2 divisors, whose sum is σ = 101331020114. Its totient is φ = 101331020112.

The previous prime is 101331020111. The next prime is 101331020123. The reversal of 101331020113 is 311020133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98227081744 + 3103938369 = 313412^2 + 55713^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331020113 - 2¹ = 101331020111 is a prime.

It is a super-3 number, since 3×101331020113³ (a number of 34 digits) contains 333 as substring.

Together with 101331020111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101331020111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665510056 + 50665510057.

It is an arithmetic number, because the mean of its divisors is an integer number (50665510057).

Almost surely, 2^101331020113 is an apocalyptic number.

It is an amenable number.

101331020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331020113 is an equidigital number, since it uses as much as digits as its factorization.

101331020113 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 16.

Adding to 101331020113 its reverse (311020133101), we get a palindrome (412351153214).

The spelling of 101331020113 in words is "one hundred one billion, three hundred thirty-one million, twenty thousand, one hundred thirteen".