13121030100 has 288 divisors, whose sum is σ = 41157365760. Its totient is φ = 3215554560.

The previous prime is 13121030093. The next prime is 13121030101. The reversal of 13121030100 is 103012131.

It is a super-2 number, since 2×13121030100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121030101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58838589 + ... + 58838811.

It is an arithmetic number, because the mean of its divisors is an integer number (142907520).

Almost surely, 2^13121030100 is an apocalyptic number.

13121030100 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 13121030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578682880).

13121030100 is an abundant number, since it is smaller than the sum of its proper divisors (28036335660).

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

13121030100 is a wasteful number, since it uses less digits than its factorization.

13121030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13121030100 its reverse (103012131), we get a palindrome (13224042231).

The spelling of 13121030100 in words is "thirteen billion, one hundred twenty-one million, thirty thousand, one hundred".