13235214310000 has 100 divisors (see below), whose sum is σ = 32112404922312. Its totient is φ = 5282747488000.

The previous prime is 13235214309971. The next prime is 13235214310013. The reversal of 13235214310000 is 1341253231.

It is a happy number.

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

It is a super-2 number, since 2×13235214310000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3252954 + ... + 6087046.

Almost surely, 2^{13235214310000} is an apocalyptic number.

13235214310000 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 13235214310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056202461156).

13235214310000 is an abundant number, since it is smaller than the sum of its proper divisors (18877190612312).

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

13235214310000 is an equidigital number, since it uses as much as digits as its factorization.

13235214310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834588 (or 2834567 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13235214310000 its reverse (1341253231), we get a palindrome (13236555563231).

The spelling of 13235214310000 in words is "thirteen trillion, two hundred thirty-five billion, two hundred fourteen million, three hundred ten thousand".