13005711055110 has 64 divisors (see below), whose sum is σ = 31524659412480. Its totient is φ = 3433656192000.

The previous prime is 13005711055063. The next prime is 13005711055153. The reversal of 13005711055110 is 1155011750031.

It is a super-4 number, since 4×13005711055110⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11837101 + ... + 12889079.

It is an arithmetic number, because the mean of its divisors is an integer number (492572803320).

Almost surely, 2^{13005711055110} is an apocalyptic number.

13005711055110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13005711055110 is an abundant number, since it is smaller than the sum of its proper divisors (18518948357370).

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

13005711055110 is a wasteful number, since it uses less digits than its factorization.

13005711055110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056093.

The product of its (nonzero) digits is 2625, while the sum is 30.

The spelling of 13005711055110 in words is "thirteen trillion, five billion, seven hundred eleven million, fifty-five thousand, one hundred ten".