13214041012096 has 64 divisors (see below), whose sum is σ = 27812018088000. Its totient is φ = 6243464636416.

The previous prime is 13214041012021. The next prime is 13214041012103. The reversal of 13214041012096 is 69021014041231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13214041012096² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37695931 + ... + 38044858.

It is an arithmetic number, because the mean of its divisors is an integer number (434562782625).

Almost surely, 2^{13214041012096} is an apocalyptic number.

13214041012096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13214041012096 is an abundant number, since it is smaller than the sum of its proper divisors (14597977075904).

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

13214041012096 is an equidigital number, since it uses as much as digits as its factorization.

13214041012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75740879 (or 75740867 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 13214041012096 in words is "thirteen trillion, two hundred fourteen billion, forty-one million, twelve thousand, ninety-six".