1313413414215 has 64 divisors (see below), whose sum is σ = 2464222396416. Its totient is φ = 584855655552.

The previous prime is 1313413414177. The next prime is 1313413414237. The reversal of 1313413414215 is 5124143143131.

It is a happy number.

It is not a de Polignac number, because 1313413414215 - 2¹⁵ = 1313413381447 is a prime.

It is a super-3 number, since 3×1313413414215³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1260684 + ... + 2053326.

It is an arithmetic number, because the mean of its divisors is an integer number (38503474944).

Almost surely, 2^{1313413414215} is an apocalyptic number.

1313413414215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1313413414215 is a deficient number, since it is larger than the sum of its proper divisors (1150808982201).

1313413414215 is a wasteful number, since it uses less digits than its factorization.

1313413414215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793068.

The product of its digits is 17280, while the sum is 33.

Adding to 1313413414215 its reverse (5124143143131), we get a palindrome (6437556557346).

The spelling of 1313413414215 in words is "one trillion, three hundred thirteen billion, four hundred thirteen million, four hundred fourteen thousand, two hundred fifteen".