1201300100013 has 32 divisors (see below), whose sum is σ = 1826806173696. Its totient is φ = 696565729728.

The previous prime is 1201300100003. The next prime is 1201300100017. The reversal of 1201300100013 is 3100010031021.

It is not a de Polignac number, because 1201300100013 - 2⁵ = 1201300099981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201300100017) 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, 9934245 + ... + 10054442.

It is an arithmetic number, because the mean of its divisors is an integer number (57087692928).

Almost surely, 2^{1201300100013} is an apocalyptic number.

1201300100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1201300100013 is a deficient number, since it is larger than the sum of its proper divisors (625506073683).

1201300100013 is a wasteful number, since it uses less digits than its factorization.

1201300100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19988793.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1201300100013 its reverse (3100010031021), we get a palindrome (4301310131034).

The spelling of 1201300100013 in words is "one trillion, two hundred one billion, three hundred million, one hundred thousand, thirteen".