13121030103000 has 128 divisors (see below), whose sum is σ = 40971098488320. Its totient is φ = 3496079433600.

The previous prime is 13121030102989. The next prime is 13121030103017. The reversal of 13121030103000 is 30103012131.

It is a super-2 number, since 2×13121030103000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1880907 + ... + 5457093.

It is an arithmetic number, because the mean of its divisors is an integer number (320086706940).

Almost surely, 2^{13121030103000} is an apocalyptic number.

13121030103000 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 13121030103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20485549244160).

13121030103000 is an abundant number, since it is smaller than the sum of its proper divisors (27850068385320).

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

13121030103000 is a wasteful number, since it uses less digits than its factorization.

13121030103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577434 (or 3577420 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13121030103000 its reverse (30103012131), we get a palindrome (13151133115131).

The spelling of 13121030103000 in words is "thirteen trillion, one hundred twenty-one billion, thirty million, one hundred three thousand".