413151101513 has 16 divisors (see below), whose sum is σ = 415508562000. Its totient is φ = 410802585600.

The previous prime is 413151101483. The next prime is 413151101521. The reversal of 413151101513 is 315101151314.

It can be written as a sum of positive squares in 8 ways, for example, as 96628965904 + 316522135609 = 310852^2 + 562603^2 .

It is a cyclic number.

It is not a de Polignac number, because 413151101513 - 2²⁰ = 413150052937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413151100513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344005313 + ... + 344006513.

It is an arithmetic number, because the mean of its divisors is an integer number (25969285125).

Almost surely, 2^413151101513 is an apocalyptic number.

It is an amenable number.

413151101513 is a deficient number, since it is larger than the sum of its proper divisors (2357460487).

413151101513 is a wasteful number, since it uses less digits than its factorization.

413151101513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 413151101513 its reverse (315101151314), we get a palindrome (728252252827).

The spelling of 413151101513 in words is "four hundred thirteen billion, one hundred fifty-one million, one hundred one thousand, five hundred thirteen".