13380101091072 has 54 divisors (see below), whose sum is σ = 38578130018792. Its totient is φ = 4460033696256.

The previous prime is 13380101091061. The next prime is 13380101091073. The reversal of 13380101091072 is 27019010108331.

It is a super-2 number, since 2×13380101091072² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13380101091073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2903665468 + ... + 2903670075.

Almost surely, 2^{13380101091072} is an apocalyptic number.

13380101091072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13380101091072 is an abundant number, since it is smaller than the sum of its proper divisors (25198028927720).

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

13380101091072 is an equidigital number, since it uses as much as digits as its factorization.

13380101091072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807335565 (or 5807335548 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 13380101091072 in words is "thirteen trillion, three hundred eighty billion, one hundred one million, ninety-one thousand, seventy-two".