1313500401041 has 8 divisors (see below), whose sum is σ = 1396734083784. Its totient is φ = 1230929935360.

The previous prime is 1313500401029. The next prime is 1313500401113. The reversal of 1313500401041 is 1401040053131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 167605084816 + 1145895316225 = 409396^2 + 1070465^2 .

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 1313500401041 - 2¹⁸ = 1313500138897 is a prime.

It is a super-3 number, since 3×1313500401041³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313500400998 and 1313500401016.

It is not an unprimeable number, because it can be changed into a prime (1313500401841) 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, 165800180 + ... + 165808101.

It is an arithmetic number, because the mean of its divisors is an integer number (174591760473).

Almost surely, 2^{1313500401041} is an apocalyptic number.

It is an amenable number.

1313500401041 is a deficient number, since it is larger than the sum of its proper divisors (83233682743).

1313500401041 is a wasteful number, since it uses less digits than its factorization.

1313500401041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331608531.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 1313500401041 its reverse (1401040053131), we get a palindrome (2714540454172).

The spelling of 1313500401041 in words is "one trillion, three hundred thirteen billion, five hundred million, four hundred one thousand, forty-one".