13100885360640 has 3780 divisors, whose sum is σ = 61903925074908. Its totient is φ = 2648687247360.

The previous prime is 13100885360579. The next prime is 13100885360657. The reversal of 13100885360640 is 4606358800131.

13100885360640 is a `hidden beast` number, since 1 + 3 + 100 + 8 + 8 + 536 + 0 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8568687181824 + 4532198178816 = 2927232^2 + 2128896^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

It is a super-2 number, since 2×13100885360640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 251 ways as a sum of consecutive naturals, for example, 354077982702 + ... + 354077982738.

Almost surely, 2^{13100885360640} is an apocalyptic number.

13100885360640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100885360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30951962537454).

13100885360640 is an abundant number, since it is smaller than the sum of its proper divisors (48803039714268).

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

13100885360640 is an frugal number, since it uses more digits than its factorization.

13100885360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13100885360640 in words is "thirteen trillion, one hundred billion, eight hundred eighty-five million, three hundred sixty thousand, six hundred forty".