13332101114016 has 72 divisors (see below), whose sum is σ = 38534689848564. Its totient is φ = 4371180687360.

The previous prime is 13332101114011. The next prime is 13332101114021. The reversal of 13332101114016 is 61041110123331.

13332101114016 is a `hidden beast` number, since 1 + 3 + 33 + 210 + 1 + 11 + 401 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13332101114011) and next prime (13332101114021).

It can be written as a sum of positive squares in 2 ways, for example, as 9808146185616 + 3523954928400 = 3131796^2 + 1877220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13332101114016² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13332101114011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379425201 + ... + 379460336.

Almost surely, 2^{13332101114016} is an apocalyptic number.

13332101114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13332101114016 is an abundant number, since it is smaller than the sum of its proper divisors (25202588734548).

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

13332101114016 is a wasteful number, since it uses less digits than its factorization.

13332101114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758885614 (or 758885603 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 13332101114016 its reverse (61041110123331), we get a palindrome (74373211237347).

The spelling of 13332101114016 in words is "thirteen trillion, three hundred thirty-two billion, one hundred one million, one hundred fourteen thousand, sixteen".