1353564354101 has 2 divisors, whose sum is σ = 1353564354102. Its totient is φ = 1353564354100.

The previous prime is 1353564354049. The next prime is 1353564354113. The reversal of 1353564354101 is 1014534653531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 964530231025 + 389034123076 = 982105^2 + 623726^2 .

It is a cyclic number.

It is not a de Polignac number, because 1353564354101 - 2³⁴ = 1336384484917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1353564354151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 676782177050 + 676782177051.

It is an arithmetic number, because the mean of its divisors is an integer number (676782177051).

Almost surely, 2^{1353564354101} is an apocalyptic number.

It is an amenable number.

1353564354101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1353564354101 is an equidigital number, since it uses as much as digits as its factorization.

1353564354101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 1353564354101 in words is "one trillion, three hundred fifty-three billion, five hundred sixty-four million, three hundred fifty-four thousand, one hundred one".