120523013 has 32 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 98841600.

The previous prime is 120523003. The next prime is 120523019. The reversal of 120523013 is 310325021.

It is a de Polignac number, because none of the positive numbers 2^k-120523013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 120522982 and 120523000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120523019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665783 + ... + 665963.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2^120523013 is an apocalyptic number.

120523013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120523013 is a deficient number, since it is larger than the sum of its proper divisors (24774139).

120523013 is a wasteful number, since it uses less digits than its factorization.

120523013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 120523013 is about 10978.2973634348. The cubic root of 120523013 is about 493.9579657394.

Adding to 120523013 its reverse (310325021), we get a palindrome (430848034).

It can be divided in two parts, 12052 and 3013, that multiplied together give a square (36312676 = 6026²).

The spelling of 120523013 in words is "one hundred twenty million, five hundred twenty-three thousand, thirteen".