101131026613 has 2 divisors, whose sum is σ = 101131026614. Its totient is φ = 101131026612.

The previous prime is 101131026511. The next prime is 101131026629. The reversal of 101131026613 is 316620131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100782756369 + 348270244 = 317463^2 + 18662^2 .

It is an emirp because it is prime and its reverse (316620131101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101131026613 - 2¹³ = 101131018421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131026413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565513306 + 50565513307.

It is an arithmetic number, because the mean of its divisors is an integer number (50565513307).

Almost surely, 2^101131026613 is an apocalyptic number.

It is an amenable number.

101131026613 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131026613 is an equidigital number, since it uses as much as digits as its factorization.

101131026613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 101131026613 its reverse (316620131101), we get a palindrome (417751157714).

The spelling of 101131026613 in words is "one hundred one billion, one hundred thirty-one million, twenty-six thousand, six hundred thirteen".