13123301122513 has 8 divisors (see below), whose sum is σ = 13142127811176. Its totient is φ = 13104482496000.

The previous prime is 13123301122457. The next prime is 13123301122541. The reversal of 13123301122513 is 31522110332131.

It can be written as a sum of positive squares in 4 ways, for example, as 705655441089 + 12417645681424 = 840033^2 + 3523868^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13123301122513 - 2³⁷ = 12985862169041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13123301122543) 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, 1246113 + ... + 5272513.

It is an arithmetic number, because the mean of its divisors is an integer number (1642765976397).

Almost surely, 2^{13123301122513} is an apocalyptic number.

It is an amenable number.

13123301122513 is a deficient number, since it is larger than the sum of its proper divisors (18826688663).

13123301122513 is an equidigital number, since it uses as much as digits as its factorization.

13123301122513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031075.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 13123301122513 its reverse (31522110332131), we get a palindrome (44645411454644).

The spelling of 13123301122513 in words is "thirteen trillion, one hundred twenty-three billion, three hundred one million, one hundred twenty-two thousand, five hundred thirteen".