315406100311 has 16 divisors (see below), whose sum is σ = 336741926400. Its totient is φ = 294545311200.

The previous prime is 315406100309. The next prime is 315406100329. The reversal of 315406100311 is 113001604513.

It is not a de Polignac number, because 315406100311 - 2¹ = 315406100309 is a prime.

It is a super-5 number, since 5×315406100311⁵ (a number of 59 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315406104311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9143845 + ... + 9178273.

It is an arithmetic number, because the mean of its divisors is an integer number (21046370400).

Almost surely, 2^315406100311 is an apocalyptic number.

315406100311 is a deficient number, since it is larger than the sum of its proper divisors (21335826089).

315406100311 is a wasteful number, since it uses less digits than its factorization.

315406100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41310.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 315406100311 its reverse (113001604513), we get a palindrome (428407704824).

The spelling of 315406100311 in words is "three hundred fifteen billion, four hundred six million, one hundred thousand, three hundred eleven".