13132313313241 has 8 divisors (see below), whose sum is σ = 13217486731400. Its totient is φ = 13047411581568.

The previous prime is 13132313313113. The next prime is 13132313313269. The reversal of 13132313313241 is 14231331323131.

It can be written as a sum of positive squares in 4 ways, for example, as 1079063888400 + 12053249424841 = 1038780^2 + 3471779^2 .

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 13132313313241 - 2⁷ = 13132313313113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13132313313941) 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, 67824636 + ... + 68017981.

It is an arithmetic number, because the mean of its divisors is an integer number (1652185841425).

Almost surely, 2^{13132313313241} is an apocalyptic number.

It is an amenable number.

13132313313241 is a deficient number, since it is larger than the sum of its proper divisors (85173418159).

13132313313241 is a wasteful number, since it uses less digits than its factorization.

13132313313241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135843243.

The product of its digits is 11664, while the sum is 31.

Adding to 13132313313241 its reverse (14231331323131), we get a palindrome (27363644636372).

The spelling of 13132313313241 in words is "thirteen trillion, one hundred thirty-two billion, three hundred thirteen million, three hundred thirteen thousand, two hundred forty-one".