13300124101400 has 96 divisors (see below), whose sum is σ = 30998783138400. Its totient is φ = 5306989209600.

The previous prime is 13300124101391. The next prime is 13300124101427. The reversal of 13300124101400 is 410142100331.

It is a super-3 number, since 3×13300124101400³ (a number of 40 digits) contains 333 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156390890 + ... + 156475910.

It is an arithmetic number, because the mean of its divisors is an integer number (322903991025).

Almost surely, 2^{13300124101400} is an apocalyptic number.

13300124101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300124101400 is an abundant number, since it is smaller than the sum of its proper divisors (17698659037000).

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

13300124101400 is a wasteful number, since it uses less digits than its factorization.

13300124101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86949 (or 86940 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13300124101400 its reverse (410142100331), we get a palindrome (13710266201731).

The spelling of 13300124101400 in words is "thirteen trillion, three hundred billion, one hundred twenty-four million, one hundred one thousand, four hundred".