101955751013 has 2 divisors, whose sum is σ = 101955751014. Its totient is φ = 101955751012.

The previous prime is 101955750991. The next prime is 101955751039. The reversal of 101955751013 is 310157559101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101663409409 + 292341604 = 318847^2 + 17098^2 .

It is a cyclic number.

It is not a de Polignac number, because 101955751013 - 2³⁴ = 84775881829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101955751063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50977875506 + 50977875507.

It is an arithmetic number, because the mean of its divisors is an integer number (50977875507).

Almost surely, 2^101955751013 is an apocalyptic number.

It is an amenable number.

101955751013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101955751013 is an equidigital number, since it uses as much as digits as its factorization.

101955751013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23625, while the sum is 38.

The spelling of 101955751013 in words is "one hundred one billion, nine hundred fifty-five million, seven hundred fifty-one thousand, thirteen".