13031313132301 has 8 divisors (see below), whose sum is σ = 13154258911640. Its totient is φ = 12908429034048.

The previous prime is 13031313132203. The next prime is 13031313132361. The reversal of 13031313132301 is 10323131313031.

13031313132301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2206561702500 + 10824751429801 = 1485450^2 + 3290099^2 .

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 13031313132301 - 2²⁹ = 13030776261389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031313132361) 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, 14995686 + ... + 15840871.

It is an arithmetic number, because the mean of its divisors is an integer number (1644282363955).

Almost surely, 2^{13031313132301} is an apocalyptic number.

It is an amenable number.

13031313132301 is a deficient number, since it is larger than the sum of its proper divisors (122945779339).

13031313132301 is a wasteful number, since it uses less digits than its factorization.

13031313132301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30840543.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13031313132301 its reverse (10323131313031), we get a palindrome (23354444445332).

The spelling of 13031313132301 in words is "thirteen trillion, thirty-one billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred one".