120013577820413 has 2 divisors, whose sum is σ = 120013577820414. Its totient is φ = 120013577820412.

The previous prime is 120013577820407. The next prime is 120013577820497. The reversal of 120013577820413 is 314028775310021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117676782539449 + 2336795280964 = 10847893^2 + 1528658^2 .

It is a cyclic number.

It is not a de Polignac number, because 120013577820413 - 2¹² = 120013577816317 is a prime.

It is a super-2 number, since 2×120013577820413² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120013577823413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60006788910206 + 60006788910207.

It is an arithmetic number, because the mean of its divisors is an integer number (60006788910207).

Almost surely, 2^{120013577820413} is an apocalyptic number.

It is an amenable number.

120013577820413 is a deficient number, since it is larger than the sum of its proper divisors (1).

120013577820413 is an equidigital number, since it uses as much as digits as its factorization.

120013577820413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 120013577820413 in words is "one hundred twenty trillion, thirteen billion, five hundred seventy-seven million, eight hundred twenty thousand, four hundred thirteen".