1313414435016 has 96 divisors (see below), whose sum is σ = 3766925036160. Its totient is φ = 411995137536.

The previous prime is 1313414434961. The next prime is 1313414435027. The reversal of 1313414435016 is 6105344143131.

1313414435016 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 144 + 3 + 501 + 6 = 666.

It is a super-4 number, since 4×1313414435016⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9358821 + ... + 9498123.

It is an arithmetic number, because the mean of its divisors is an integer number (39238802460).

Almost surely, 2^{1313414435016} is an apocalyptic number.

It is an amenable number.

1313414435016 is an abundant number, since it is smaller than the sum of its proper divisors (2453510601144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313414435016 is a wasteful number, since it uses less digits than its factorization.

1313414435016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147035 (or 147028 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1313414435016 its reverse (6105344143131), we get a palindrome (7418758578147).

The spelling of 1313414435016 in words is "one trillion, three hundred thirteen billion, four hundred fourteen million, four hundred thirty-five thousand, sixteen".