13133123310000 has 100 divisors (see below), whose sum is σ = 42395473224632. Its totient is φ = 3502166208000.

The previous prime is 13133123309987. The next prime is 13133123310011. The reversal of 13133123310000 is 1332133131.

13133123310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-5 number, since 5×13133123310000⁵ (a number of 67 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 218855389 + ... + 218915388.

Almost surely, 2^{13133123310000} is an apocalyptic number.

13133123310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133123310000 is an abundant number, since it is smaller than the sum of its proper divisors (29262349914632).

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

13133123310000 is an equidigital number, since it uses as much as digits as its factorization.

13133123310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437770808 (or 437770787 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13133123310000 its reverse (1332133131), we get a palindrome (13134455443131).

The spelling of 13133123310000 in words is "thirteen trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred ten thousand".