13123334414100 has 144 divisors (see below), whose sum is σ = 39668406059520. Its totient is φ = 3345427008000.

The previous prime is 13123334414089. The next prime is 13123334414159. The reversal of 13123334414100 is 141443332131.

It is a super-2 number, since 2×13123334414100² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6588772 + ... + 8346171.

It is an arithmetic number, because the mean of its divisors is an integer number (275475042080).

Almost surely, 2^{13123334414100} is an apocalyptic number.

13123334414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123334414100 is an abundant number, since it is smaller than the sum of its proper divisors (26545071645420).

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

13123334414100 is a wasteful number, since it uses less digits than its factorization.

13123334414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14935090 (or 14935083 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13123334414100 its reverse (141443332131), we get a palindrome (13264777746231).

The spelling of 13123334414100 in words is "thirteen trillion, one hundred twenty-three billion, three hundred thirty-four million, four hundred fourteen thousand, one hundred".