120538413013 has 6 divisors (see below), whose sum is σ = 123550082402. Its totient is φ = 117598450080.

The previous prime is 120538412989. The next prime is 120538413031. The reversal of 120538413013 is 310314835021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9584801604 + 110953611409 = 97902^2 + 333097^2 .

It is not a de Polignac number, because 120538413013 - 2¹³ = 120538404821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120538413043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35851506 + ... + 35854867.

Almost surely, 2^120538413013 is an apocalyptic number.

It is an amenable number.

120538413013 is a deficient number, since it is larger than the sum of its proper divisors (3011669389).

120538413013 is an frugal number, since it uses more digits than its factorization.

120538413013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71706455 (or 71706414 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 120538413013 in words is "one hundred twenty billion, five hundred thirty-eight million, four hundred thirteen thousand, thirteen".