120100513 has 8 divisors (see below), whose sum is σ = 133799400. Its totient is φ = 107038848.

The previous prime is 120100493. The next prime is 120100523. The reversal of 120100513 is 315001021.

It can be written as a sum of positive squares in 4 ways, for example, as 30835809 + 89264704 = 5553^2 + 9448^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120100513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120100493 and 120100502.

It is not an unprimeable number, because it can be changed into a prime (120100523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158908 + ... + 159661.

It is an arithmetic number, because the mean of its divisors is an integer number (16724925).

Almost surely, 2^120100513 is an apocalyptic number.

120100513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120100513 is a deficient number, since it is larger than the sum of its proper divisors (13698887).

120100513 is a wasteful number, since it uses less digits than its factorization.

120100513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318611.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 120100513 is about 10959.0379596021. The cubic root of 120100513 is about 493.3800910860.

Adding to 120100513 its reverse (315001021), we get a palindrome (435101534).

The spelling of 120100513 in words is "one hundred twenty million, one hundred thousand, five hundred thirteen".