121012320013 has 8 divisors (see below), whose sum is σ = 132779846808. Its totient is φ = 109596062784.

The previous prime is 121012319977. The next prime is 121012320029. The reversal of 121012320013 is 310023210121.

It can be written as a sum of positive squares in 4 ways, for example, as 24165635209 + 96846684804 = 155453^2 + 311202^2 .

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

It is not a de Polignac number, because 121012320013 - 2²⁵ = 120978765581 is a prime.

It is a super-4 number, since 4×121012320013⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012326013) 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, 87816670 + ... + 87818047.

It is an arithmetic number, because the mean of its divisors is an integer number (16597480851).

Almost surely, 2^121012320013 is an apocalyptic number.

121012320013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121012320013 is a deficient number, since it is larger than the sum of its proper divisors (11767526795).

121012320013 is a wasteful number, since it uses less digits than its factorization.

121012320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175634783.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121012320013 its reverse (310023210121), we get a palindrome (431035530134).

The spelling of 121012320013 in words is "one hundred twenty-one billion, twelve million, three hundred twenty thousand, thirteen".