13321242101400 has 96 divisors (see below), whose sum is σ = 41509819012560. Its totient is φ = 3533925335040.

The previous prime is 13321242101369. The next prime is 13321242101411. The reversal of 13321242101400 is 410124212331.

It is a super-2 number, since 2×13321242101400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57402517 + ... + 57634116.

Almost surely, 2^{13321242101400} is an apocalyptic number.

13321242101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321242101400 is an abundant number, since it is smaller than the sum of its proper divisors (28188576911160).

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

13321242101400 is a wasteful number, since it uses less digits than its factorization.

13321242101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115036845 (or 115036836 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13321242101400 its reverse (410124212331), we get a palindrome (13731366313731).

The spelling of 13321242101400 in words is "thirteen trillion, three hundred twenty-one billion, two hundred forty-two million, one hundred one thousand, four hundred".